Question

13. From a rectangular plot of land 45 sq.m land has been left for a garden and the
remaining part was kept for constructing a house which is square in shape. If the
breadth of the garden is 3 m, find how much land was kept for constructing house,
[Ans. 225 sq.m]​

Answer 1

Given :-

Length of the size of land for making a garden=3 m

The area of this land =45 sq.m

Let the length of this rectangular garden be l .

We know that :-

Formula for finding the area of a rectangle is:-

$\bold{= area = length \times breadth}$

Which means :-

The length of this rectangle :-

$= l\times 3 = 45$

$= b = \frac{45}{3}$

$= b = 15 \: m$

Thus, the length of the garden =15 m

Then :-

The length of the garden = length of side of the squarical land for construction

Thus, the length of side of the sqaure shaped construction land =15 m

We know that :-

The formula for finding the area of of a square is :-

$\bold{= area = side \: \times \: side}$

Which means, the area of this squarical construction land:-

$= 15 \times 15$

$= 225 \: sq.m$

Thus, the area of this squarical plot of construction land =225 sq.m

Therefore, the area of land left for construction was =225 sq.m