Question

If the length of a rectangle is three times it’s width and it’s parameter is 24cm what is the area

Answer 1

Area = 27 cm²

Explanation:

let L be the length of the rectangle

w the width

P the perimeter

A the area

Formulas :

P = 2×(L + w)

A = L × w

We are Given :

L = 3w

P = 2×(L + w)

⇔ 24 = 2×(3w + w)

⇔ 24 = 2×4w

⇔ 24 = 8w

⇔ w = 24/8 = 3

Then

L = 3w = 3×3 = 9

We obtain L = 9 and w = 3.

Then

A = L × w

= 9 × 3

= 27