Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should be 10 feet more than its width.

What should the dimensions of the deck be?

width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8

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shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-04-09T08:33:33+02:00

The dimensions of the deck that has an area of 144 square feet are a length of 18 feet and a width of 8 feet.

What is the area of a rectangle?

The area of the rectangle is the product of the length and width of a rectangle.

Area = length × width

Let the width of a rectangle be x and the length is 10 more than its width so, it is x+10.

Area = length × width

Area of deck = 144 square feet

144 = x × (x+10)

So, x²+10x = 144

x²+10x-144 = 0

Factor of the quadratic equation

(x+18)(x-8) = 0

solution are

x = 8, x = -18

Neglecting the negative value because dimensions cannot be negative, therefore x = 8 only.

Length = x + 10

Length = 18

Width = 8

Since The dimensions of the deck that has an area of 144 square feet are a length of 18 feet and a width of 8 feet.

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Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should be 10 feet more than its width. What should the dimensions of the deck be?

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What is the area of a rectangle?

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Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should be 10 feet more than its width.

What should the dimensions of the deck be?