Question

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

Answer 1

Answer:

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

Step-by-step 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

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