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neonofarm [45]
3 years ago
11

The length of a rectangle is six times it’s width. If the area of the rectangle is 150ft^2, find its perimeter.

Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

Perimeter = 70ft

Step-by-step explanation:

Area of a rectangle is:

area = (length * width)

150 = a * b

a = 6b

a = length

b = width

then:

150 = 6b*b

150 = 6b²

b² = 150/6

b² = 25

√b² = √25

b = 5ft

a = 6b

a = 6*5

a = 30ft

then:

perimeter of a rectangle is:

p = 2(a+b)

p = 2(30 + 5)

p = 2*35

p = 70ft

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