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Kipish [7]
3 years ago
5

Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same wid

th but a length that is 5 feet more than its width. If Jack's patio is 120 square feet and Ron's patio is 104 square feet, how many square feet longer is Jack's patio than Ron's?
Mathematics
1 answer:
swat323 years ago
6 0

Answer:

difference in area = 16 ft²

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

Step-by-step explanation:

Jacks rectangular patio

width = a

length = 2a - 1

area = lw

where

l = length

w = width

area = 120 ft²

a(2a - 1)

2a² - a - 120 = 0

(a - 8) (2a + 15)

a = 8 or -15/2

Ron's rectangular patio

width = a

length = a + 5

area = lw

area = 104 ft²

a (a + 5) = 104

a² + 5a -104 = 0

(a + 8)  (a - 13)

a = -8 or 13

How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,

120 - 104 = 16 ft²

The value 8 or 13 can be used for a since the width a have to be the same.

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

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3 years ago
Use distributive property to write an equivalent expression. Use paper and pencil to
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Answer:

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8 0
3 years ago
Tonya is making a scale model of a monument that is 160 feet tall. If she uses a scale of 4 in. = 5 ft., how tall should she mak
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Answer:

<u>It should be 128 inches or 10.67 feet tall</u>

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4 0
3 years ago
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I have no idea I am only in  Middle School

3 0
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Answer:

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8 0
3 years ago
Read 2 more answers
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