Maths-

General

Easy

Question

# The area of a rectangular rug is . Use factoring to find possible dimensions of the rug. How are the side lengths related? What value would you need to subtract from the longer side and add to the shorter side for the rug to be a square?

Hint:

### factorize the given area using and find the possible values of length and breadth of the rectangle .Find the value that is needed to subtract from the longer side and add to the shorter side for the rug to be a square.

## The correct answer is: 7x+5y and 7x-5y are the dimensions of a rectangular rug . 5y need to be subtracted from longer side(7x+5y) and add it shorter side(7x-5y) gives rug to be a square

### Ans :- 7x + 5y and 7x - 5y are the dimensions of a rectangular rug . 5y need to be subtracted from longer side

(7x + 5y) and add it shorter side(7x - 5y) gives rug to be a square

Given,

Write

As

Here a = 7x ; b = 5y

We get

As the garden is rectangular , we can write area A = length × breadth

The possibility is length = 7x + 5y and breadth = 7x - 5y (or) viceversa

5y needs to be subtracted from the longer side(7x + 5y) and adding it to the shorter side(7x - 5y) gives the rug to be a square .

### Related Questions to study

Maths-

### Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)

### Tom has a large cone-shaped pinata hung from a tree. The height and radius of the pinata are 8 inches and 1 foot respectively. What is the volume of the pinata? Round your answer to two decimal places. (use π = 3.14)

Maths-General

Maths-

### Level: Medium

i)

### Level: Medium

i)

Maths-General

Maths-

### The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

### The roof of a castle is in the shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (use π = 3.14)

Maths-General

Maths-

### For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

### For Christmas, Lily makes a paper cone Santa hat. If the height and radius of the cone are 8 inches and 3 inches respectively, what is the volume of the hat? (use π = 3.14)

Maths-General

Maths-

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden .given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.

Maths-General

Maths-

### A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

### A cone of height 20 yd has a radius 15 yd, find its volume in cubic ft?

Maths-General

Maths-

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why.

Maths-General

Maths-

### A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?

### A cone of height 11 ft has a radius 7 ft, find its volume in cubic meter?

Maths-General

Maths-

### Write the factored form of the given expression.

### Write the factored form of the given expression.

Maths-General

Maths-

### A cone of height 9 Inch has a radius 4 inch , find its volume in cm?

### A cone of height 9 Inch has a radius 4 inch , find its volume in cm?

Maths-General

Maths-

### The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be () of the volume of the given cone, at what height above the base is the section made ?

### The height of cone is 30 cm. A small cone is cut off from the top portion by a plane parallel to the base. If the volume be () of the volume of the given cone, at what height above the base is the section made ?

Maths-General

Maths-

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why

### In front of a school are several gardens in rectangular raised beds. For the area of a rectangular garden given, use factoring to find the possible dimensions. Could the garden be a perfect square? If so, explain why

Maths-General

Maths-

### Write the factored form of the given expression.

### Write the factored form of the given expression.

Maths-General

Maths-

### A cone of height 24 cm has a surface area 550 sq.cm, find its volume?

### A cone of height 24 cm has a surface area 550 sq.cm, find its volume?

Maths-General

Maths-

### Factor the given expression completely.

### Factor the given expression completely.

Maths-General