Question

diagonal of rectangle feild is 16m more than shorter side if longer side is 14m more than the shorter side then find the length & breadth of feild​

Answer 1

Answer:

breadth=10 m

length =24 m

Step-by-step explanation:

let shorter side be x

so diagonal x+16

length x+14

In a rectangle diagonal makes 2 right triangles so using pythagoras theorem

(x+16)^2=(x+14)^2+x^2

x^2+256+32x=x^2+196+28x+x^2

=x^2-4x-60

x^2-10x+6x-60 middle term split

x(x-10)+6(x-10)

so x=-6 and 10 (side can't be in negative )

x=10

breadth =10

and other sides accordingly

hope it helps