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The rectangle shown has a perimeter of 88 cm and the given area ( 228cm^2. its length is 8 more than five times its width.

what is the length of the rectangle

what is the width of the rectangle

worth 25 points.

User Shangari C
by
8.4k points

1 Answer

7 votes

Answer:

Width of Rectangle is 6 cm.

Length of Rectangle is 38 cm

Explanation:

Given:

Area of Rectangle =
228cm^2

Perimeter of rectangle = 88 cm

Let width be x cm


\therefore according to given data Length =
5x+8

Solution:

Formula for Perimeter of Rectangle =
2(length+width)

Substituting the above given data in the stated formula we get.


2(8+5x+x)=88

Dividing both sides by 2 we get


(2(8+6x))/(2)=(88)/(2)


8+6x=44

Subtracting both side by 8 we get.


8+6x-8=44-8


6x=36

Dividing both side by 6 we get.


(6x)/(6)=(36)/(6)


\therefore x=6

Width of the rectangle is 6 cm

Now length=
8+5x=8 + 5*6=8+30=38

Length of the rectangle is 38 cm

User IndianerJones
by
8.6k points
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