Question

A rectangular room is 1.2 1.2 times as long as it is wide, and its perimeter is 35 35 meters. Find the dimension of the room.

Answer 1

I. Length, L = 9.552 meters

II. Width, W = 7.96 meters

Explanation:

Let the length = L

Let the width = W

Given the following data;

Perimeter = 35 m

Translating the word problem into an algebraic equation, we have;

Length = 1.2W

To find the dimension of the room;

The perimeter of a rectangle is given by the formula;

P = 2(L + W)

Substituting into the formula, we have;

35 = 2(1.2W + W)

35 = 2(2.2W)

35 = 4.4W

Width, W = 7.96 meters

Next, we would find the length of the rectangle;

L = 1.2*W

L = 1.2 * 7.96

Length, L = 9.552 meters