Question

The length of the rectangle is 4 out of 3 of its breadth . If its perimeter is 84m , then area of the rectangle is .
​

Answer 1

Given: The length of the rectangle is 4 out of 3 of its breadth and its perimeter is 84m.

To find: The area of the rectangle

Solution: Let the length and breadth of the rectangle be l m and b m respectively.

According to the given problem,

l=($\frac{4}{3}$ )b

The perimeter of a rectangle is given by 2(l+b).

We know, 2(l+b)=84

          i.e.,(l+b)=42

          i.e.,$\frac{4}{3} b$+b=42

          i.e.,$\frac{7}{3}b$=42

          i.e.,7b=126

          i.e.,b=18m

Therefore,l=$\frac{4}{3}b$=24m

Area of rectangle is given by (l×b)=(18×24)

                                                       =432$m^{2}$

The area of the rectangle is 432 $m^{2}$.