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

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

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

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

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