Question

The width of a rectangle is one third length if the perimeter is 180 metre find the dimensions of the rectangle

Answer 1

Answer:

l=54m

r=36m

Step-by-step explanation:

let the length of the rectangle be xm

thus ,width of the rectangle =2x/3

given,

perimeter of the rectangle is 180

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

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

=2(5x)=180*3[by cross multiplication ]

=10x =540

x=54

now , width of the rectangle =2x /3 =2*54/3

=36m

hence the length of the rectangle in 54m, and breadth of the rectangle is 36m

hope it helps

Answer 2

Let the length of the rectangle be x,

Perimeter = 2(l+b)

180= 2(x+$\frac{1}{3}x$)

$\frac{180}{2} = x+ \frac{1}{3} x$

$90 = x+\frac{1}{3} x$

$90/\frac{1}{3}= x+x$

$90*3 = 2x$

$270= 2x\\\\\frac{270}{2} = x\\\\135= x$

Length is 135 m.

Breadth = $\frac{1}{3} * 135$ = 45m

So the dimensions are 135m and 45m.