Question

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

Answer 1

Answer:

x=40

Step-by-step explanation:

8(1/2x + 5) = 200

4x + 40 = 200

4x = 160

x = 40

Answer 2

Answer: x = 40

Step-by-step explanation:

$A=l*w$

We have;

$Area=200units^2\\length=8units\\width=\frac{1}{2}x+5units$

Solve for w;

$w=\frac{A}{l}$

$\frac{1}{2}x+5=\frac{200}{8}$

$\frac{1}{2}x+5=25$

Subtract 5

$\frac{1}{2}x=25-5$

$\frac{1}{2}x=20$

Multiply by 2

$2*\frac{1}{2}x=20*2\\ x=40$