Question

The length of a rectangle is five more than the width. The perimeter is 130cm. What is the area?

Answer 1

Greetings!

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

$\frac{12x}{12} = \frac{130}{12}$

x = $\frac{65}{6}$

So the area = length * width

x * 5x = area

Substitute the values in:

$\frac{65}{6} * (5*\frac{65}{6})$ = 586.8055... ≅ 586.8

So the approximate area is 586.8

Hope this helps!