Question

The length of rectangular field is less than twice its breadth by 5m.area is 700sq.m .find dimensions

Answer 1

Answer:

length = 35 m

breadth = 20 m

Step-by-step explanation:

let the breadth be x

length will be 2x - 5

area = l × b = 700

$700 = x \times (2x - 5) \\ 700 = 2 {x}^{2} - 5x \\ 2 {x}^{2} - 5x - 700 = 0 \\ 2 {x}^{2} - 40x + 35x - 700 = 0 \\ 2x(x - 20) + 35(x - 20) = 0 \\ (x - 20)(2x + 35) = 0 \\ x - 20 = 0 \: \: \: \: \: \: 2x + 35 = 0 \\ x = 20 \: \: \: \: \: \: \: \: x = - \frac{35}{2}$

we take the positive value of x

x = 20

breadth = x = 20 m

length = 2x - 5 = 2(20) - 5 = 40 - 5 = 35 m

hope you get your answer