Question

The area of the rectangle shown is 200 square units. Find the value of x?

Answer 1

Answer: x = 40

Explanation:

`A=l*w`

We have;

`Area=200units^2\\length=8units\\width=(1)/(2)x+5units`

Solve for w;

`w=(A)/(l) \\`

`(1)/(2)x+5=(200)/(8)`

`(1)/(2)x+5=25`

Subtract 5

`(1)/(2)x=25-5`

`(1)/(2)x=20`

Multiply by 2

`2*(1)/(2)x=20*2\\ x=40`

Answer 2

x=40

Explanation:

8(1/2x + 5) = 200

4x + 40 = 200

4x = 160

x = 40