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stira [4]
3 years ago
10

The area rug in your living room is 5 feet longer than it is wide. If the rug is

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

Answer:

length = 17 ft and width = 12 ft

Step-by-step explanation:

The rug is rectangular .

Let

width = a

length = a + 5

Area of the rug = a × (a + 5) = a² + 5a

The rug is always placed 2 ft from the wall. The illustration describes a rectangle place into another. The space between the rug and the wall is 100 ft².  

The living room

length = a + 5 + 2 + 2= a + 9

width  = a + 2 + 2 = a + 4

area = (a + 9)(a + 4) = a² + 4a + 9a + 36 = a² + 13a + 36

a² + 13a + 36 - (a² + 5a) = 100

a² + 13a + 36 - a² - 5a = 100

8a + 36 = 100

8a = 100 - 36

8a = 64

a = 64/8

a = 8

Dimension of the living room

length = a + 9

length = 8 + 9 = 17 ft

width  = a + 4

width = 8 + 4 = 12 ft

length = 17 ft and width = 12 ft

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What is value of x? <br><br> What I the measure of angle C?
maw [93]

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4 0
3 years ago
I need help with solving the value of x. Then finding the measure of the base angle.
romanna [79]

Answers:

x = -3

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============================================

Work Shown:

The missing angle is (2x+55) degrees since the base angles are congruent.

Add up the three angles and set the sum equal to 180. Solve for x.

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Parallel lines have the same slope. Here, our slope is -1

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Hope this helps!
8 0
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