Question

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 square feet and a length that is 4 feet more than its width.
If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Answer 1

The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21

What is the equation?

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

Area of a rectangle = length x width

• width = x
• length = 4 + x

x (4 + x) = 21

x² + 4x = 21

To learn more about quadratic equations , please check: brainly.com/question/27696091

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Answer 2

The equation in the given form that can be used to determine the possible dimensions of the base of the doghouse will be, 21=4x+x².

What is the area?

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Area of rectangular base(A) = 21 square feet

The length is 4 feet more than its width, L=4+x

If x represents the width of the doghouse

The equation in the given form can be used to determine the possible dimensions of the base of the doghouse;

Area of the rectangular base;

A= L × x

A = (4+x)x

21=4x+x²

Hence the obtained equation for the given value will be, 21=4x+x².

To learn more about the area, refer to the link;

brainly.com/question/11952845

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