Question

The perimeter of a rectangular plot is 174 m and its breadth is 35 m . Find the length and the area of the plot .​

Answer 1

Perimeter:  2(L+w) = p

                  L+w = p/2

 

L + 35 = 174/2

L = 87 - 35

L = 52

 

The plot is 52 by 35 meters

 

Area = Length*width

A = 52(35) = 1,820 m2

Answer 2

$perimeter = 174m \\ breadth = 35m \\ p = 2(l + b) \\ 174 = 2(l + 35) \\ (l + 35) = \frac{174}{2} \\ l + 35 = 87 \\ l = 87 - 35 \\ l = 52m \\ area = l \times b \\ a = 52 \times 35 \\ a = 1820 {m}^{2}$