Maths-

General

Easy

Question

# The area of a playground is . Without removing common factors, factor to possible dimensions of the playground. 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 playground 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: 6x+4y and 6x-4y are the dimensions of a rectangular playground . 4y needs to be subtracted from the longer side(6x+4y) and adding it to the shorter side(6x-4y) gives the playground to be a square

### Ans :- 6x + 4y and 6x - 4y are the dimensions of a rectangular playground . 4y needs to be subtracted from the longer side(6x + 4y) and adding it to the shorter side(6x - 4y) gives the playground to be a square .

Given,

Write

As

Here

We get

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

The possibility is length = 6x + 4y and breadth = 6x - 4y (or) viceversa

4y needs to be subtracted from the longer side(6x + 4y) and adding it to the shorter side(6x - 4y) gives the playground to be a square

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