Question

A play school is designing two sand pits in ts play area . Each must have an area of 36 m2 . However , one of the sand pits must be rectangular , and the other must be square haped . What might be the dimensions of ach of the sand pits ?

Answer 1

Answer:

Dimensions of square shaped pit = 6m $\times$ 6m

Dimensions of rectangular pit = 1m $\times$ 36m or 2m $\times$ 18m or 3m $\times$ 12m or 4m $\times$ 9m

Step-by-step explanation:

Given:

Two pits in the school playground area (one square shaped and one rectangular shaped).

Each pit must have an area = 36 $m^2$

To find:

Dimensions of each pit = ?

Solution:

First of all, let us have a look at the formula for area of a square and a rectangle:

$Area_{square} = (Side)^2$

$Area_{Rectangle} = Length\times Width$

Now, let us try to find out dimensions of square:

$36 = Side^2\\\Rightarrow Side = 6\ m$

So, dimensions of Square will be 6m $\times$ 6m.

Now, let us try to find out dimensions of rectangle.

$36 = Length\times Width$

We are not given any restrictions on the Length and Width of the rectangle.

So, let us explore all the possibilities by factorizing 36:

$36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9$

6 $\times$ 6 factors not considered because then it will become a square and which is not the required case.

Dimensions of rectangular pit = 1m $\times$ 36m or 2m $\times$ 18m or 3m $\times$ 12m or 4m $\times$ 9m