Question

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

Answer 1

x = 40

Explanation:

The area (A) of the rectangle is calculated as

A = lb ( l is the length and b the breadth )

Here A = 200, l = 8 and b =
`(1)/(2)` x + 5, thus

8 ×(
`(1)/(2)` x + 5) = 200 ( divide both sides by 8 )

`(1)/(2)` x + 5 = 25 ( subtract 5 from both sides )

`(1)/(2)` x = 20 ( multiply both sides by 2 )

x = 40