Question

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.

Answer 1

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