Question

if the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m find the length of the rectangle​

Answer 1

Answer:

length=45m

Step-by-step explanation:

Let the length and breadth be 5x and 3x.

Perimeter=2(l+b)

2(5x+3x)=144

5x+3x=144/2

8x=72

x=72/8

x=9

breadth =3x=9*3=27m

length=5x=5*9=45m

Hope It helps

Answer 2

Answer:

45 m

Step-by-step explanation:

Given,

l : b = 5 : 3

Perimeter = 144 m

To Find,

Length of the Rectangle

Solution :

l : b = 5 : 3

= > $\frac{l}{b} = \frac{5}{3}$

= > $l = \frac{5b}{3}$

Perimeter = 2(l+b) m

144 m = 2($\frac{5b}{3}$+b) m

144 m = 2($\frac{5b + 3b}{3}$) m

72 m = $\frac{8b}{3}$ m

= > b = $\frac{72 * 3}{8}$ m

Therefore,

b = 27 m

Since,

l = $\frac{5b}{3}$

= > l = $\frac{5 * 27}{3}$

Therefore,

l = 45 m

Hence,

The length of the rectangle is 45 m