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Please help.... A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the width of the rectangle.

2 Answers

4 votes

Answer:

Explanation:

Please help.... A rectangle has a length of (x + 4) centimeters and a width of 12x-example-1
User Turamarth
by
5.4k points
4 votes

Answer:

The width of rectangle is
W=(108)/(13)\ cm or
8(4)/(13)\ cm

Explanation:

we know that

The perimeter of rectangle is equal to


P=2(L+W)

where

L is the length of rectangle

W is the width of rectangle

we have


P=26/ cm\\L=(x+4)/ cm\\W=12x\ cm

substitute


26=2(x+4+12x)

solve for x


26=2(13x+4)


26=26x+8


26x=26-8


26x=18


x=(18)/(26)

simplify


x=(9)/(13)

Find the width of rectangle


W=12x\ cm

substitute the value of x


W=12((9)/(13))=(108)/(13)\ cm

Convert to mixed number


(108)/(13)\ cm=(104)/(13)+(4)/(13)=8(4)/(13)\ cm

User Assa Yeroslaviz
by
5.4k points
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