Problema Solution
The length of a rectangle is twice as great as its width. When both the width and length are increased by 5 inches, the new rectangle has a perimeter of 80 inches. Write an equation to find the length and width of the original rectangle. What are the length and width?
Answer provided by our tutors
Let
l = the length of the original rectangle
l + 5 = the length of the new rectangle
w = the length of the original rectangle
w + 5 = the width of the new rctangle
The length of a rectangle is twice as great as its width:
l = 2w
The perimeter of the new rectangle is: 2(l + 5 + w + 5) = 2(l + w + 10)
The new rectangle has a perimeter of 80 inches:
2(l + w + 10) = 80
We have the following system of equations:
l = 2w
2(l + w + 10) = 80
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click here to see the system of equations solved for l and w
........
l = 20 in
w = 10 in
The length of the original rectangle is 20 inches.
The width of the original rectangle is 10 inches.