Question

A. The area of a small rectangular plot is 84 m2.
If the difference between its length and the
breadth is 5 m; find its perimeter.​

Answer 1

Answer:

perimeter = 38 m

Step-by-step explanation:

let the length of rectangular plot = x

breadth of rectangular plot = x - 5

area of rectangular plot = 84 sq m

area = l × b

84 = x × (x - 5)

$84 = {x}^{2} - 5x \\ {x}^{2} - 5x - 84 = 0 \\ {x}^{2} - 12x + 7x - 84 = 0 \\ x(x - 12) + 7(x - 12) = 0 \\ (x - 12)(x + 7) = 0 \\ x - 12 = 0 \: \: \: \: \: x + 7 = 0 \\ x = 12 \: \: \: \: \: \: \: x = - 7$

we take the positive value of x = 12

therefore the length of rectangular plot is = x = 12 m

the breadth of rectangular plot = x - 5 = 12 - 5 = 7 m

perimeter of rectangular plot = 2( l + b)

= 2 ( 12 + 7)

= 2 × 19

= 38 m

hope you get your answer