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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

Answer :

Answer:

20 inches by 14 inches

Step-by-step 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

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