The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area. printed material Width = . (include units) Height = . (include units)

The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the dimensions of the poster with the smallest area. printed material Width = . (include units) Height = . (include units)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

See similar textbooks

Related questions

Q: Find the dimensions of a rectangle with a perimeter of 80 ft that has the largest possible area.…

Q: A rectangle has an area of 180 cm2 and a perimeter of 54 cm. What are its dimensions?

A: We have, a rectangle has an area of 180 cm2 and a perimeter of 54 cm. Let us consider that the…

Q: A carton with a square base is designed to contain 1.80 cubic meters. The carton is 1.15 meters…

Q: An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00 per…

A: We have to find the cost of the rectangle.

Q: A poster is to have an area of 240 in with 1 inch margins at the bottom and sides and a 2 inch…

A: let width of printed area x and height is y area =240 x*y=240 x=240/y according to given condititon…

Q: A rectangle has an area of 364.5 cm?. If its length is 27 cm, find its perimeter.

Q: Find the dimensions of a rectangle of area 289 ft that has the smallest possible perimeter. shorter…

A: From the given problem the area of the rectangle is 289ft2. Let the sides of the rectangle is x…

Q: A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Volume = A×A×H Where A is surface area and H is Hight

Q: 3. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Given: An open rectangular box square ends to hold 6400 cu ft,Cost for base end = Php.75Cost for…

Q: A fishing line 5 ft long is cut into two pieces, one shorter than the other. Express the length of…

A: Given,A fishing line 5 ft long is cut into two pieces, one shorter than the other.Let the length of…

Q: The floor of a storage unit is 12 meters long and 9 meters wide. What is the distance between two…

Q: A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

A: We have a given rectangle width is 16 cm diagonal length is 20 cm We have to find the length of…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Maxima and minima problem

Q: The diameter of the front wheels of a tractor is 0.8 m and the diameter of the back wheels is 1.1 m.…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 8 cm. If the area of…

A: Let we denote a be the width of the poster and b be the hight of the poster.

Q: The volume of a truncated prism with a square as it horizontal base is equal to 5000 cubic inches.…

A: Given that, The volume of a truncated prism with a square as it horizontal base is equal to 5000…

Q: a rectange is 4 inches longer than it is wide. numerically its area exceeds its perimeter by 17.…

Q: 2. An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00…

A: Consider the given information. Let's consider that x is the side of the base and h is the height.…

Q: Marcus creates a two-dimensional cross-section by slicing a cube parallel to its base. If the volume…

Q: Find the dimensions of a rectangle with a perimeter of 160 ft that has the largest possible area.…

A: Perimeter of a rectangle=2l+bArea of a rectangle=length×breadthGiven: Perimeter = 160

Q: A chemical power plant is rectangular and has a length of 100 m and a width of 60,000mm. A safety…

Q: A poster is to have a total area of 125 square inches with 2-inch margins at the bottom and sides…

A: Find the overall dimensions of the poster that maximizes the poster area.

Q: 1. The length of a rectangle is 5 inches less than twice its width. If the perimeter is 24 inches,…

Q: The length of a rectangle is 5 m longer than its width and the area of the rectangle is 320 m² .…

A: The length of rectangle is 5m longer than its width and the area of the rectangle is 320m2.

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

Q: The top and bottom margins of a poster are 6 cm and the side margins are each 8 cm. If the area of…

A: Given- The top and bottom margins of a poster are each 6 cm and the side margins are each 8 cm and…

Q: The length of a rectangle is six rime its width. If the perimeter of the rectangle is 112 m, what is…

Q: The perimeter of a trapezium is 52 cm and its each non - parallel side is equal to 10 cm with its…

Q: The height of a triangle is 1cm more than its base. Find height and base if it’s area is 21 cm2

A: let the base of triangle is 21 cm, since height is 1 cm more than height , so height is x+1, No we…

Q: The parallel side of a trapezium measure 12 cm and 20 cm . Calculate its area if the distance…

Q: An eighteen-acre building lot is five times as long as it is wide. What are it’s dimensions?

Q: Find the dimensions of a rectangle of area 256 ft that has the smallest possible perimeter. shorter…

A: Area= length * width Perimeter=2(length + width)

Q: 3. The cross-section of a tunnel, 50 meters in length is in the form of a rectangle 8 m wide and 4 m…

Q: An open rectangular box w/ square ends to hold 6400 cu ft, is to be built at a cost of Php 75.00 per…

Q: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: A picture frame is in the shape of a square with a circle removed from the centre. If the radius of…

A: Given, a picture frame is in the shape of a square with a circle removed from the centre. if the…

Q: A square has a side length of 22 meters. What is the area of this square?

A: topic - area of square area of square= (side)2

Q: A dog trainer has 70 ft of fencing with which to create a rectangular work area for dogs. If the…

A: Explained below...

Q: 9 m 17 m

Q: An open rectangular box with square ends is to be built to hold 392 ft at a cost of Php 75/ft² for…

Q: The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area…

A: Here we find out the area of poster including margin

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of…

A: Let width of printed area is x and height of printed area be y So Area = 386 xy=386 y=386xTotal area…

Q: An open rectangular box with square ends is to be built to hold 392 ft3 at a cost of Php 75/ft2 for…

Q: A machine produces open boxes using square sheets of metal. The machine cuts equal-sized squares…

A: Definition used - The volume of box = Area of base x height…

Q: Find the most economical proportions for a covered box of fixed volume whose base is a rectangle…

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of…

A: Let l be the length of poster and w be the width of poster.The top and bottom margins are 8cm and…

Q: An aquarium is 16 in. high with volume of 4608 in.3(approximately 20 gal). If the amount of glass…

Q: An open rectangular box with square ends is to be built to hold 392 ft³ at a cost of Php 75/ft? for…

Q: 1. The length of a rectangle is 4 inches less than twice its width. If the perimeter is 18 inches,…

A: Let l be the length of the rectangle and w be the width of the rectangle. It is given that the…

Question

The top and bottom margins of a poster are 4 cm and the side margins are each 6 cm. If the area of printed material on the poster is fixed at 386 square centimeters, find the
dimensions of the poster with the smallest area.
printed
material
Width =
(include units)
Height
8, (include units)
..........

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

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?
A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft from one end of the barn, what is the area of the pasture that the goat is able to graze?
A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can hold 7.5 gal of gasoline, what is the total storage capacity of the tank measured in gallons?
The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?