A rectangular page is to contain 37 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used. ................. in (smaller value) ................. in (larger value)

A rectangular page is to contain 37 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used. ................. in (smaller value) ................. in (larger value)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 12T

See similar textbooks

Related questions

Q: Find the dimensions of a rectangle with area 1,000 m2 whose perimeter is as small as possible. (If…

A: Given

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given a silo made of hemisphere and cylinder. The costs of painting the wall, floor and roof are…

Q: 5. A rectangular field's length is three times its width. If the perimeter is 480 feet, what are the…

Q: 3.) If you need to fill up a rectangular bath tub that is 2ft by 5ft by 2ft how many gallons of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A rectangular lot is to be fenced using 120m of fencing materials. The fence should separate two…

A: To find out the dimensions for which the area of the lot will be maximum.

Q: A rectangular page is to contain 36 square inches of print. The margins of each side are 1- inches.…

A: Given that, A rectangular page is to contain 36 square inches of print. The margins of each side are…

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

Q: A rectangular page is to contain 90 square inches of printable area. The margins at the top and…

A: Let the height of the printable part of the paper is x the top and bottom margins are 1 inch each…

Q: A rectangular poster is to contain 800 square centimeters of print. 1he margins at the top and…

A: Given that

Q: A farmer wants to fence a rectangular area of 450 square feet next to a river. Find the length and…

A: Let length = x width = yArea (A) = 450 (feet)2 So, A = xy = 450 ...(i)total fencing (T) = x+2yT =…

Q: A rectangular poster is to contain 288 square centimeters of print. The margins at the top and…

A: Question

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

Q: A rectangular box with an open top is to be made from a 16-inch by 21-inch piece of cardboard by…

Q: A rectangular poster is to contain 800 square centimeters of print. The margins at the top and…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: [3] A rectangular field is to be fenced off along the bank of a river. The river bank does not…

Q: a. Draw three noncongruent rectangles, each with perimeter 20 cm. Findthe area of each rectangle.b.…

A: (a) Consider the provided information, Draw three noncongruent rectangles, each with perimeter 20…

Q: A rectangular retaining wall has an area of 240 square feet above ground and a length of 40 feet.…

A: It is given that A rectangular retaining wall has an area of 240 square feet above ground and a…

Q: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the…

A: Given Data: The length fencing required enclosed area is: P=900 ft The figure below indicates the…

Q: A farmer wants to enclose two adjacent goat pens beside his barn. The wall of the barn forms one…

A: The arrangement of barn and goat pens is shown below The perimeter of one goat fence is P=x+x+y…

Q: A playpen manufacturer wants to make a rectangular enclosure with maximum play area. To remain…

Q: A petting zoo is constructing some pens for their small animals. They are going to put fence around…

Q: A farmer wants to fence a rectangular area of 50 square feet next to a river. Find the length and…

A: Solved below

Q: A container with square base, vertical sides, and open top, is to be made from 3,000 ft² material.…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given, The cost for the walls = Php 4/sq in The cost for the floor = Php…

Q: What is the area of the largest triangle that can be fitted into a rectangle of length 1 units and…

A: It is given that the rectangle length is 1 units and width is w units

Q: 1500 square centimeters of material is available to make a box with a square base and an open top,…

Q: A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and…

Q: A rectangular frame needs to have an opening of 28 square inches. The boards used to create the…

Q: The bulletin board has a dimension of 1.2 meters by 1.8 meters. The students need to cover the…

A: The problem is simply to divide the bulletin board with dimensions 1.2 meters by 1.8 meters into…

Q: A landscaper wants to install a border around a small rectangular lap pool. The pool measures 12…

A: The solution is based on the area of rectangles.

Q: A rectangular poster is to contain 392 square centimeters of print. The margins at the top and…

A: Let the length of the print part be x and let the width of the print part be y Then the area of the…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: To determine the dimensions of the original piece of cardboard.

Q: You format a document in three columns of equal width. The document is 8.5 inch wide. You want left…

A: Also, given, there is gutter between the columns So there is two gutters and 3…

Q: A rectangular page is to contain 90 square inches of printable area. The margins at the top and…

Q: The length and breadth of the floor of a room are 30 feet and 20 feet, respectively. Square tiles of…

A: Given the length of floor= 30 feet Breadth of floor= 20 feet Side of square tiles= 2 feet Black…

Q: 3.) If you need to fill up a rectangular bath tub that is 2ft by 5ft by 2ft how many gallons of…

Q: A rectangular field is fenced off, an existing wall being used as one side. If the area of the field…

A: Suppose that the length of field is “L”, and width of field is “W” then, The total area of the is…

Q: A certain driving test requires the driver to stop with the front wheel of the vehicle inside a…

A: The area of a rectangle is calculated using the formula below. The perimeter of a rectangle is…

Q: cylinder has a volume of 502.4 cm³ and a radius of 4 cm. What is the height of the cylinder?

Q: A farmer wants to fence a rectangular area of 392 square feet next to a river. Find the length and…

Q: A rectangular poster is to contain 338 square centimeters of print. The margins at the top and…

A: Here we have to use the concept of derivatives.

Q: A rectangular page is to contain 36 square inches of printable area. The margins at the top and…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

Q: A landscaper wants to install a border around a small rectangular lap pool. The pool measures 12…

Q: ind the cost per ounce, cost per pound, and cost per head for a case of lettuce that costs $25 and…

A: Cost of case of lettuce = $25Number of heads = 24∴24 heads cost $25∴ Cost per head = $2524 = $1.042∴…

Q: f small cubes that measure 2 centimeters on each side. The candies are stacked on top of each other…

A: A company manufactures candies in the shape of small cubes that measure 2 centimeters on each side.…

Q: A rectangular page is to contain 144 sq. inches of print. the margins on each side are 1 inch. Find…

A: Option B is correct Answer. Minimum dimension = (12+2,12+2) Minimum dimension = (14,14)

Q: You need to make a closed box with total volume 1500 cubic inches, but you want to spend as little…

A: Given, Total volume of the box =1500 cubic inches. Material for the front and…

Q: A rectangle has length less than 15cm what can you say about its width if the rectangle has a…

A: given datalehgth(L) <15 cmperimeter(P) = 40 cmlet the width of the rectangle be 'W '

Q: A rectangular frame needs to have an opening of 24 square inches. The boards used to create the…

A: As per given data, Since the frame has a width of 2 inches and it covers on two sides, Hence,

Question

A rectangular page is to contain 37 square inches of print. The margins on each side are 1 inch. Find the dimensions of the page such that the least amount of paper is used.

................. in (smaller value)

................. in (larger value)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are purchased to enclose the garden, what are the dimensions of the rectangular plot?
The numerical value of the volume of a cube equals the numerical value of its total surface area. What is the length of each edge of the cube?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gallon of gasoline, what is the total storage capacity of the tank measured in gallons?
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?