Question

The perimeter of a room is 99 whole 1/2m. If its breadth is 20 whole 2/3m, what is it's length?​
please solve with step by step explanation please

Answer 1

Step-by-step explanation:

perimeter of rectangle room = 99 1/2 m

breadth = 20 2/3 m

let length be x

perimeter of rectangle = 2(l + b)

$99 \frac{1}{2} = 2(x + 20 \frac{2}{3} ) \\ \frac{199}{2} \div 2 = x + \frac{62}{3} \\ \frac{199}{4} = x + \frac{62}{3} \\ \frac{199}{4} - \frac{62}{3} = x \\ x = \frac{(199 \times 3) - (62 \times 4)}{12} \\ x = \frac{597 - 248}{12} \\ \\ x = \frac{349}{12} \\ x = 29 \frac{1}{12} \: m$

therefore the length of rectangle room is 29 1/12 m

Hope you get your answer