Question

The width of a rectangle is two thirds of its length. If the perimeter is 180m, the length of the rectangle is: *​

Answer 1

Step-by-step explanation:

Let length be x

Width=2x/3

so Perimeter formula of rectangle 2(l+b)

2(x+2x/3)=180 m

2 on the other side so divide 180÷2=90

x+2x/3=90

5x/3=90/1

cross multiply ❌✖

5x=270

x=54

length =54

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Answer 2

Answer:

l = 54

b = 36

Step-by-step explanation:

Given:-

1. Perimeter of a rectangle is 180 m
2. if the width of a rectangle is two thirds of its length

Required:-

1. To find the length of the rectangle

Solution:-

Perimeter = 180

→ 2(L+B) = 180

→  L+B = 90

Given breadth = $\frac{2}{3}(l)$

$l + \frac{2}{3}l = 90$

$\frac{3l+2l}{3} = 90\\\\3l + 2l = 270\\\\5l = 270\\\\l = 54\\\\b = \frac{2}{3}(l)\\\\b = 54(\frac{2}{3}) = 36$