Question

If w represents the width of the tree house, which inequality could be used to determine what lengths would make the area of the base of the tree house greater than 293 square inches?

Answer 1

An inequality which could be used to determine the lengths that would make the area of the rectangular base of the tree house greater than 293 square inches is W² + 7W > 293.

How to calculate the area of a rectangle?

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

• A is the area of a rectangle.

• L is the length of a rectangle.

• W is the width of a rectangle.

For the length and area of the rectangular base, we have:

L = W + 7

A > 293

Substituting the given parameters into the formula, we have;

L × W > 293

(W + 7) × W > 293

W² + 7W > 293

Read more on area of a rectangle here: brainly.com/question/25292087

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Complete Question:

Adam built a tree house with a rectangular base. The length of the base is 7 inches more than its width. If w represents the width of the tree house, which inequality could be used to determine what lengths would make the area of the base of the tree house greater than 293 square inches?

W + 7 > 293

202 + 286 > 2,051

w² + 7w > 293

12 + 293 > 293