The diagonal of the rectangular field is $60 m$ more than the shorter side. If the longer side is $30 m$ more than the shorter side, then the area of the field is:

5400

m^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10800

m^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

18000

m^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $10800$ $m^{2}$
Let the shorter side $= x .$
longer side $= x + 30.$
Diagonal $= x + 60$
In the right $△ A B C,$
$A C^{2} = {A B}^{2} + {B C}^{2}$
${(x + 60)}^{2} = x^{2} + {(x + 30)}^{2}$
Solving this we get,
So, $x = 90$ , then longer side $= 120$
Area $= 10800 m^{2} .$

Suggest Corrections

Similar questions

The diagonal of a rectangular field is $60 m e t r e s$ more than the shorter side. If the longer side is $30 m e t r e s$ more than the shorter side, find the sides of the field.

Q. The diagonal of a rectangular field is 40 meters more than the shorter side. If longer side is 20 meters more than the shorter side, find the sides of the field.

Q. The diagonal of a rectangular field is

25

metres more than the shorter side. If longer side is

23

metres more than the shorter side, find the sides of the field.

Q. The diagonal of a rectangular field is 16 m more than the shorter side. If the longer side is 14 m more than the shorter side, then find the lengths of the sides of the field.

Q. Question 6
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.

Join BYJU'S Learning Program

The diagonal of the rectangular field is 60 m more than the shorter side. If the longer side is 30 m more than the shorter side, then the area of the field is:

The correct option is C 10800 m2Let the shorter side =x. longer side =x+30.Diagonal =x+60In the right △ABC,AC2=AB2+BC2(x+60)2=x2+(x+30)2Solving this we get, So, x=90, then longer side =120Area =10800 m2.

The diagonal of the rectangular field is $60 m$ more than the shorter side. If the longer side is $30 m$ more than the shorter side, then the area of the field is:

The correct option is C $10800$ $m^{2}$
Let the shorter side $= x .$
longer side $= x + 30.$
Diagonal $= x + 60$
In the right $△ A B C,$
$A C^{2} = {A B}^{2} + {B C}^{2}$
${(x + 60)}^{2} = x^{2} + {(x + 30)}^{2}$
Solving this we get,
So, $x = 90$ , then longer side $= 120$
Area $= 10800 m^{2} .$