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mart [117]
3 years ago
11

A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet

Mathematics
1 answer:
kramer3 years ago
5 0

Answer:

The length of rectangle is 15\ ft

The width of rectangle is 6\ ft

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

A=xy

A=90\ ft^{2}

so

90=xy -----> equation A

x=4y-9 -----> equation B

substitute equation B in equation A and solve for y

90=(4y-9)y

4y^{2}-9y-90=0

using a graphing calculator

The solution is

y=6\ ft

Find the value of x

x=4y-9  -----> x=4(6)-9=15\ ft

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Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
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<u>Answer</u>

5 and -4


<u>Explanation</u>

If the two triangle are congruent then they have the same area.

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