SOLUTION: Please help me! The perimeter of rectangle is 96cm. Find the dimensions of the rectangle if the ratio of the length to the width is 7:5.

Question 580433: Please help me!
The perimeter of rectangle is 96cm. Find the dimensions of the rectangle if the ratio of the length to the width is 7:5.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"the ratio of the length to the width is 7:5" means that the length is 7x and the width is 5x for some unknown value of x.

So L = 7x and W = 5x. Also, we know that the perimeter is 96 cm, so P = 96.

Now use the perimeter formula to solve for x

P = 2L + 2W

96 = 2(7x) + 2(5x)

96 = 14x + 10x

96 = 24x

96/24 = 24x/24

4 = x

x = 4

So the value of x is x = 4. This means that the length is 7x = 7*4 = 28 and the width is 5x = 5*4 = 20

So in short, the length is 28 cm and the width is 20 cm
RELATED QUESTIONS
The length of a rectangle is 3m longer than twice the width. if the perimeter of this... (answered by Alan3354)

Find the dimensions of a rectangle whose area s 575square cm and whose perimeter is... (answered by LinnW)

The perimeter of a rectangle is 96cm. if the length is double the width, find the length... (answered by macston)

A rectangle has a perimeter of 96cm. If the length is 2 times it�s width, what are the... (answered by ikleyn)

A rectangle has a perimeter of 96cm. If the length is 2 times it�s width, what are the... (answered by addingup)

The length of a rectangle is three more than twice its width. What are the dimensions of... (answered by swincher4391)

The length of a rectangle is 3 times the width. The perimeter is 96cm. Find the width and (answered by solver91311)

the length of a rectangle is 5cm less than twice its width . if the length is decreased... (answered by macston)

the withd of a rectangle is 3cm more than half the length. the perimeter is 96cm. what is (answered by checkley77)