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ad-work [718]
3 years ago
11

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 squar

e 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.
Mathematics
2 answers:
liq [111]3 years ago
7 0

Answer: x^2+4x-21=0

Step-by-step explanation:

You need to remember that formula for calculate the area of a rectangle:

A=lw

Where "l" is the lenght and "w" is the width.

You know that "x" represents the width of the doghouse, its rectangular base has an area of 21 square feet (A=21) and its length is 4 feet more than its width (l=x+4)

Then, substituting into the formula, you get:

21=(x+4)(x)

Simplifying, you get the following  that can be used to determine the possible dimensions of the base of the doghouse:

21=x^2+4x

x^2+4x-21=0

ss7ja [257]3 years ago
3 0

Answer:

Square root of 21 + 4 = w

Step-by-step explanation:

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