Question

The width of a rectangle is 8 inches more than the length. The perimeter is 60. Find the length and width of the rectangle.
(3 points)
a)Write the simplified equation for the perimeter:
b)Length:
c)Width:

Answer 1

Answer:

(a) 4L = 44 (simplified equation)

(b) Length = 11 inches

(c) Width = 19 inches

Step-by-step explanation:

Width = Length + 8

Let width be w, length = L

-> w = L+8

Perimeter = 60 inches

Perimeter equation = 2(w+L)

60 = 2(L+8+L)

60 = 2(2L+8)

60 = 4L+16

4L = 60-16

4L = 44 ✅

L = 44/4

Length = 11 inches ✅

Width = Length + 8

Width = 11 + 8

Width = 19 inches ✅

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Answer 2

Answer:Length =11

Width=19

Step-by-step explanation:

Let length=l

Width=b

Given

b=l+8

Perimeter=60

2l+2b=60

l+b=30

l+(l+8)=30

2l=30-8

2l=22

l=11

Now

b=l+8=11+8=19

Therefore

Length =11

Width=19