The diagonal of a rectangular field is 60 m more than the shorter side. The longer side is 30 m more than the shorter side. The shorter side (in m) is:
Use Pythagoras and solve.

Question

The diagonal of a rectangular field is 60 m more than the shorter side. The longer side is 30 m more than the shorter side. The shorter side (in m) is: Use Pythagoras and solve.

Accepted Answer

90. Shorter s, longer s+30, diagonal s+60. s^2 + (s+30)^2 = (s+60)^2, s^2 + s^2+60s+900 = s^2+120s+3600, s^2 -60s -2700=0, (s-90)(s+30)=0. s = 90 m.

The diagonal of a rectangular field is 60 m more than the shorter side. The longer side is 30 m more than the shorter side. The shorter side (in m) is:
Use Pythagoras and solve.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

The diagonal of a rectangular field is 60 m more than the shorter side. The longer side is 30 m more than the shorter side. The shorter side (in m) is:Use Pythagoras and solve.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

The diagonal of a rectangular field is 60 m more than the shorter side. The longer side is 30 m more than the shorter side. The shorter side (in m) is:
Use Pythagoras and solve.