Question

Pls solve q no. 7. I need it urgently. Tomorrow is my exam.

Answer 1

The area of the square lawn is
`784\ m^2`

Explanation:

Part 7)

Let

x ----> the length side of the square lawn in meters

we know that

The area of the path is equal to

`A=(x+2+2)^2-x^2`

`A=(x+4)^2-x^2` ----> equation A

`A=240\ m^2` ----> equation B

so

`240=(x+4)^2-x^2`

Solve for x

`240=(x^2+8x+16)-x^2`

`240=8x+16`

`8x=240-16`

`8x=224`

`x=28\ m`

The area of the square lawn is

`A=x^2`

substitute the value of x

`A=28^2=784\ m^2`