Given the quadratic equation below, determine which situation it could represent.

X^2+6x=146

A. Matt has a dirt patch in his yard that has an area of 146 square feet. He covers 6 square feet of the dirt with sod.

B. Lacey is constructing a model of a house from a blueprint. The area of the blueprint is 146 square inches. The area of the floor of the model is one-sixth of the area of the blueprint.

C. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.

D. The front of a cereal box has an area of 146 square inches. The area that is colored is 6 times more than the area that is shaded.

For plato users the answer is C

Question

Dean Haynes

Mathematics

6 November, 16:16

Given the quadratic equation below, determine which situation it could represent.

X^2+6x=146

A. Matt has a dirt patch in his yard that has an area of 146 square feet. He covers 6 square feet of the dirt with sod.

B. Lacey is constructing a model of a house from a blueprint. The area of the blueprint is 146 square inches. The area of the floor of the model is one-sixth of the area of the blueprint.

C. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.

D. The front of a cereal box has an area of 146 square inches. The area that is colored is 6 times more than the area that is shaded.

For plato users the answer is C

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Answers (1)

Know the Answer?

Elaine Campos · Answer 1

Answer: option C. A garage door is 6 feet wider than it is tall. The area of one side of the garage door is 146 square feet.

Justification:

Call x the height of the garage door.

Then, the width is x + 6

And the area of one side is height * width = x (x + 6) = x^2 + 6x

That is equal to 146 feet^2

=> x^2 + 6x = 146