Question

If the ratio of the length to the breadth of rectangle b 5 ratio 3 and its perimeter is 144 m find the length of the rectangle

Answer 1

$\mathbb{ SOLUTION}$ :

Given :
Ratio of length and breadth of rectangle is 5:3
And perimeter of the rectangle is 144 m

Let,
length be 5x m
breadth be 3x m

We know that,
Perimeter of rectangle = 2(length + breadth)

=> 144 = 2(5x + 3x)

=> 144 = 2(8x)

=> 144 = 16x

=> $\frac{144}{16}$ = x

=> 9 = x

Hence,
length of the rectangle = 5x = 5*9 = 45m
and
breadth of the rectangle = 3x = 3*9 = 27m

Answer 2

$\huge\red{Answer\: is}$

Let the length be 5x And breadth is 3x

Perimeter = 2(Length + Breadth)
$144 = 2(5x + 3x) \\ \frac{144}{2} = 8x \\ 8x = 72 \\ x = \frac{72}{8} \\ x = 9 \\ so \: length \: = 5 \times 9 = 45m \\ and \: breadth \: = 3 \times 9 = 27m$
Hope it helps you