188,909 views
32 votes
32 votes
A rectangular ceiling tile has a perimeter of 68 inches. Its area is 280 square inches. What are the dimensions of the tile?

____inches by ____inches

User Thund
by
2.5k points

1 Answer

13 votes
13 votes

Answer:

20 inches by 14 inches

Explanation:

Let's begin by reviewing what we know about rectangles.

The perimeter is equal to 2 lengths and 2 widths, giving us the equation

P = 2l + 2w

68 = 2l + 2w

The area is equal to the length multiplied by the width, giving

A = lw

280 = lw

Evaluating these equations for l and w, we are left with:

l = 20 and w = 14

Hope this helped!

User Gurkan
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.