The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. What is the length and width of the rectangle?

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The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. What is the length and width of the rectangle?

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Answer 1 · 2018-03-02T14:51:02

Length $l = 10.5”$ , Width $w = 6.5”$

Explanation:

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Perimeter $P= 2l + 2w$

Given $l =( w + 4)”, P = 34”$

$:. 34 = 2(w+4) + 2w$

$4w + 8 = 34$

$w = 26/4 = 6.5”$

$l = w + 4 = 6.5 + 4 = 10.5”$

Answer 2 · 2018-03-02T14:52:22

length is $10.5$ inches

width is $6.5$ inches

Explanation:

Let length be $l$
Let width be $w$
Let perimeter be $P$

First, we must construct an equation for these variables:

$l=w+4$

$P=34$

But, Perimeter of a rectangle $=l+w+l+w$

$=2l+2w$

So:

$34=2l+2w$

But, since $l=w+4$ , we can substitute for $l$ , having only the $w$ variable:

$34=2(w+4)+2w$

$34=2w+8+2w$

$34=4w+8$

Solve for $w$ :

$4w=34-8$

$4w=26$

$w=26/4$

$w=6.5$ inches

Now, we can substitute $6.5$ for $w$ in the Perimeter Equation:

$34=2l+2w$

becomes:

$34=2l+2*6.5$

$34=2l+13$

Solve for $l$ :

$2l=34-13$

$2l=21$

$l=21/2$

$l=10.5$ inches

Thus, length is $10.5$ inches

Thus, width is $6.5$ inches

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The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. What is the length and width of the rectangle?

2 Answers

Explanation:

Explanation:

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