Question

The length and width of a rectangle are in a 3 : 5 ratio. The perimeter of the

rectangle is 64. What are the length and width of the rectangle?

Answer 1

Explanation:

solution;

here

let us suppose the ratios of length and width of rectangle be 3x and 5x

if the perimeter of rectangle is 64

we know that,

perimeter of rectangle=2 (l + w)

or, 64=2(3x +5x)

or, 64=2(8x)

or, 64=16x

or, x=4

therefore length=3x

3*4=12

width=5x

5*4=20

Answer 2

Explanation:

Rectangle:

Length : Width = 3 : 5

Length = 3x

Width = 5x

Perimeter = 64

2*(length + width) = 64

2*(3x + 5x) = 64 {Add like terms}

2 * 8x = 64

16x = 64 {Divide both sides by 16}

x = 64/16

x = 4

Length = 3*4 = 12 units

Width = 5*4 = 20 units