13. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

Q: 1.  A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Step:-1 Part (a) Given that a rectangular pool of length =12 meter and width =8 meter Also, pool has…

Q: 8. Find the dimensions of a rectangle with area 1000 m² whose perimeter is as small as possible.

A:

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A: To Find: the dimension of the largest rectangle ( in terms of area) that can be inscribed in a…

Q: 14) A rectangular prism has a density of 19 g/cm² and a mass of 4104 grams. What could be a possible…

A:

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: Given:

Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

A:

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given:  A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 4. A farmer needs to fence a rectangular area of 1600 a. Determine the dimersions of the rectangular…

A:

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: A cube has edges that are each twice as long as a second cube

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: 1. A farmer intends to make four identical rectangular pens each with an area of 100 m? as shown in…

A:

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be 27…

A:

Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

A:

Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

Q: 1. A rectangular window has a length that is 18 inches more than its width. If its perimeter is 180…

A: Let width of the rectangular window be w (in inches).Since length is 18 inches more than width,so…

Q: 5. FIND THE MAXIMUM AREA FOR A RECTANGULAR ENCLOSURE USING 480 FEET OF FENCING MATERIAL AND…

A: I am attaching image so that you understand each and every step.

Q: 4. Find the dimensions of a rectangular box with a square base which has a volume of 12 cubic feet…

A:

Q: 7. Determine the measure of an edge of cube whose total surface area is 150in.

A: the total surface area of a cube=6a2

Q: A cardboard box with a square base and an open top is to be constructed from a square of cardboard…

A: The schematic representation is shown below. Since the box is open at the top, the volume of the…

Q: A cylinder is designed to hold one quart of liquid (or 58 cubic inches). What should the dimensions…

A:

Q: 3. Prove analytically that the sum of the lengths of two sides of a triangle is greater than the…

A:

Q: 7. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible.

A: The objective of the question is evaluate the dimensions of the rectangle for larger area.   we have…

Q: (c) A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: (i) It is given that the length of the rectangular pool is 12 m and width is 8 m and the area is 12…

Q: 3. A rectangular yard with an existing stonewall on one side is to be fenced off. If the area of the…

A:

Q: 2. Find the dimensions of a rectangle with perimeter 100 m whose area is as large as possible? Find…

A: Here we have to find the dimensions of w rectangle with perimeter 100m whose area is as large as…

Q: 2 2. A rectangular playing field is to have area 600 m . Fencing is required to enclose the field…

A:

Q: 13. The top and bottom margins of a poster are each 9 cm and the side margins are each 6 cm. If the…

A: Suppose the dimensions of the poster are, x(length) and y(breadth) of the printed area. Here, given…

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from…

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width…

Q: A window is being built and the bottom is a rectangle and the top is a semicircle. If there is 8…

A:

Q: 7. The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the…

A:

Q: 1. The minimum possible perimeter for a rectangle with an area of 529 m² is

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 5. What is the largest rectangular area a farmer can enclose using 60 meters of fencing material?

A:

Q: 10) A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

A: Given ,  A supplier of bolts wants to create open boxes for the bolts by cutting a square from each…

Q: If a cube has a volume of 64. What is it’s edge length

A:

Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches.

Q: 8. The Toronto Zoo wishes to construct an aquarium in the shape of a rectangular prism such that the…

A:

Q: 13. Find the dimensions of the rectangle of largest area that can be inscribed in an equilateral…

A:

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: Let us take x=the width of the tile border. By the agreement, the pool must contain a rectangular…

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide. The pool must, by…

A: i) Given that, the length of the pool is 12 meters and 8 meters wide, the are of the pool should be…

Q: 3. A sheet of cardboard 3ft by 4ft will be made into a box by cutting equal-sized squares from each…

A: NOTE: Refresh your page if you can't see any equations. . the length, width, and height of the box…

Q: If a cube has edges that are each twice as long as a second cube then its volume will be eight times…

A: Calculate volume in the following way:-

Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

Q: A contractor has to build rectangular pool 12 metres long and 8 metres wide.  The pool must, by…

A: Consider the equation

Q: If a cube has edges that are each three times as long as a second cube, then its volume will be nine…

A: Volumes

Q: 9. Find the area of the largest rectangle that fits inside a circle of radius 10.

A:

Q: . A rectangular piece of cardboard measuring 24cm by 30cm is to be made into an open top box by…

A:

Q: 2. Among all rectangles that have perimeter of (54+0) ft, find the dimensions of the one with…

A:

Q: 2. A rectangle has an area of 100 m?. Find the dimensions of the rectangle that yields the smallest…

A: Given the area of a rectangle is: Now, Formula used : Let the length and breadth of the rectangle…

Q: 6. If 1200 em of material is available to make a box with a square base and open top, find the…

A:

Q: Find the dimensions of a rectangle (in m) with area 1,331 m² whose perimeter is as small as…

A: