Question

A rectangular room whose width is 4/7 of its length x has a perimeter of y.Find the length and breadth (in meters) of the room when the perimeter is 4400 cm.

• A. 14 m , 8 m
• B. 8 m, 14 m
• C. 9 m, 15 m
• D. 15 m, 9 m

Answer 1

The correct option is A

14 m , 8 m

$\text{Length= x cm and breadth = 4/7 x cm.}2(x+\frac{4}{7}x)=y\Rightarrow 2\left(\frac{7x+4x}{7}\right)=y\Rightarrow 2\left(\frac{11x}{7}\right)=y\Rightarrow 22x=7y\Rightarrow x=\frac{7y}{22}Giventhat,y=4400cm\therefore x=\frac{7\times 4400}{22}=1400cm\text{Also, Length of the room is 1400 cm =14 m and}Breadth=\frac{4}{7}\times 1400=800cm=8m$