Question

Find the length of a square plot whose area is equal to the area of a rectangular field of dimensions of 75m*432m​

Answer 1

Answer:

Step-by-step explanation:

Let the length of square plot be 'a'

Area of square = Area of rectangle

a×a=75×432

a^2=32400

a=√32400

a=180m

Answer 2

Answer:

The length of the square plot is $180m$.

Step-by-step explanation:

Let the length of the square plot be $a$.

Area of square $=$ Area of rectangle (given)

We know that the formula for area of a square is : $a*a$

The formula for area of a rectangle is : $l*b$ where $l$ is the length and $b$ is the breadth of the rectangle.

$a*a=75*432$

$a^2=32400$

$a=\sqrt{32400}$

$a=180m$

Therefore the length of the square is $180m$.