Question

the longer side of a rectangular field is 7 m more than the shorter side and the diagonal of the field is 8 m more than the shorter side.the lengths of sides of the field are....​

Answer 1

Answer:

Longer side = 12 m

Shorter side = 5 m

Step-by-step explanation:

Given:

Consider, the shorter side be x m

So, the longer side = (x + 7) m

Diagonal = (x + 8) m

To Find:

Length of sides

Solution:

Just use the Pythagoras theorem and Get answer.

$\sf \: Diagonal {}^{2} = Length {}^{2} + Breadth {}^{2}$

See in the attachment.

Hence, required lengths are 12 m and 5 m .

Answer 2

Answer:

let the shorter side be x

longer side = x + 7

diagonal = x+8

shorter side, longer side and diagonal will form a right angle triangle with diagonal as hypotenuse

apply Pythagoras theorem

(x+8)^2=(x+7)^2 + x^3

After simplification

x^2- 2x - 15 = 0

(x-5)(x+3)=0

x+3=0 gives x = -3 which is not possible

x-5=0 gives x=5 = shorter side

longer side=5+7=12m