Q:

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

Accepted Solution

A:
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