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LenKa [72]
3 years ago
9

The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dime

nsions of the rectangle?
length = 14 cm; width = 9 cm
length = 10 cm; width=7
length = 7 cm; width = 10 cm
length = 9 cm; width = 8 cm
Mathematics
1 answer:
yarga [219]3 years ago
3 0

Let l and w be the length and width of the rectangle. We know that l=2w-4

The formula for the perimeter is P=2(w+l)

Using our substitution, it becomes

P=2(w+2w-4)=2(3w-4)=6w-8

We know that the perimeter is 34, so we have

6w-8=34 \iff 6w=42 \iff w=7

The length is 4 less than twice the width, so we have

l=2\cdot 7 - 4 = 10

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