Mathematics: The length of a rectangle is 4 centimeters less than twice its width. the perimeter of the rectangle is 34 cm. what are the dimensions 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

The length of a rectangle is 4 centimeters less

lol6998

04.01.2022

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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abby986

10.06.2021

1/4

Step-by-step explanation:

Slope = (5-3)/(2-(-6))

= 2/8

= 1/4

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