Question

The perimeter of a rectangle is 510 centimeters. The ratio of the length to the width is 3:2. What are the dimensions of this rectangle?

Answer 1

Answer:
`L=153`
`and`
`W=102`

Explanation:

As L:W= 3:2 P=510

we have to divide the perimeter by 2 since P= (L+W)×2

∴
`P=(510)/(2)` = 255

sum of ratio ⇒ 3+2 = 5

for L =
`(3)/(5) *(255)/(1) =(765)/(5) =153`

for W =
`(2)/(5) *(255)/(1) = (510)/(5) = 102`

Thus, the dimensions are L=153 and W=102

Answer 2

Explanation:

Perimeter is two lengths + two widths

they are in a ratio ....so they are both multiplied by some constant 'x'

x ( 2 *3 + 2 *2 ) = 510 cm

10x = 510

x = 51 3 * 51 = 153 cm length 2 * 51 = 102 cm width