0

Guest

Courses New

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
3 years ago
Dear Student

Let us say, the shorter side of the rectangle bexm.
Then, larger side of the rectangle = (x+ 30) m

the length of the diagonal is = [ (x + 30)^2 + x^2 ]^(1/2) m
Given, diagonal= x+60

Therefore,

⇒x^2+(x+30)^2=(x+60)^2
⇒x^2+x^2+900+60x=x^2+3600+120x
⇒x^2- 60x- 2700 = 0
⇒x^2-90x+30x-2700=0
⇒x(x- 90) + 30(x-90) = 0
⇒(x- 90)(x+ 30) = 0
⇒x= 90, -30

Thanks

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More