Question

15. The perimeter of a rectangle is 8 times its width. If the length is 6 meters,

what is the area of ​​the rectangle, in square meters?

A) 12

B) 18

C) 24

D) 30

Answer 1

12 m²

Explanation:

Let the perimeter of the rectangle be known as P, width of the rectangle be known as W, and the length of the rectangle be known as L.

Given Information:

• P = 8W
• L = 6 meters

We know that the perimeter is the sum of the boundaries of the rectangle. Therefore, the perimeter is equivalent to twice the sum of L and W.

• ⇒ P = 2(L + W)

Substitute the given variables into the perimeter equation;

• ⇒ 8W = 2(6 + W)

Then, solve for the width of the rectangle;

• ⇒ 8W = 2(6 + W)
• ⇒ 8W = 12 + 2W
• ⇒ 6W = 12 ⇒ W = 2 meters

Finally, solve for the area of the rectangle;

• ⇒ Area of rectangle = Length × Width
• ⇒ Area of rectangle = 6 × 2 m² = 12 m² (Option A)

Therefore, the area of the rectangle is 12 m² (A)