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 ?

Dimensions of square shaped pit = 6m 6m

Dimensions of rectangular pit = 1m 36m or 2m 18m or 3m 12m or 4m 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

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:

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

So, dimensions of Square will be 6m 6m.

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

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

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

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

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