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The length of a rectangle is eight more than twice its width. The perimeter is 88 feet. Find the dimensions of the rectangle.

User Samjhana
by
8.1k points

2 Answers

3 votes

Answer:

length: 31

width: 12

Explanation:

l=8+2w

p=2l+2w=88

(8+2w)+(8+2w)+w+w

16+6w=88

6w=72

w=12

l=8+2(12)

l=32

sorry if this was confusing

User Fruitjs
by
9.0k points
2 votes

Answer:


l=32 and
w=12

Explanation:

Given: The length of a rectangle is eight more than twice its width. The perimeter is 88 feet.

To find: The dimensions of the rectangle.

Solution:

It is given that the length of a rectangle is eight more than twice its width.

Let the width of the rectangle be w.

So, the length of the rectangle
=2w+8

We know that the perimeter of a rectangle is
2(l+w)

Here, perimeter of rectangle
=88

So, we have


2(2w+8+w)=88


\implies2w+w+8=44


\implies3w=44-8


\implies3w=36


\implies w=12

Therefore, width of the rectangle is 12 feet

length
=2*12+8=32

Hence, length of the rectangle is 32 feet and width of the rectangle is 12 feet.

User Trott
by
8.2k points

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