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.

Answer 1

Answer:

Width of Rectangle is 6 cm.

Length of Rectangle is 38 cm

Step-by-step 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

$\frac{2(8+6x)}{2}=\frac{88}{2}$

$8+6x=44$

Subtracting both side by 8 we get.

$8+6x-8=44-8$

$6x=36$

Dividing both side by 6 we get.

$\frac{6x}{6}=\frac{36}{6}$

$\therefore x=6$

Width of the rectangle is 6 cm

Now length= $8+5x=8 + 5\times6=8+30=38$

Length of the rectangle is 38 cm