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

2

x + 6x = 146

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

option B)

Step-by-step explanation:

Given the Quadratic equation

x² + 6x = 146

A)

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

x + 6x = 146

B)

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

suppose, length of door = x

so, wight = 6 + x

area = l x b

146 = x * (x+6)

146 = x² + 6x

C)

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.

146 - 6 = 140 area of dirt patch left

D)

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.

Area of the floor of the model = 1/6 of the area of the blueprint

= 1/6 x 146

= 24.33 ft²