The diagonal of a quadrilateral shaped field is $24 m$ and the perpendiculars dropped on it from the remaining opposite vertices are $8 m a n d 13 m$ . Find the area of the field.

25.2 m^{2}

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

252 c m^{2}

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

272 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 A $25.2 m^{2}$
Let $A B C D$ be the given quadrilateral in which $B E ⊥ A C a n d D F ⊥ A C$ .
It is given that
$A C = 24 m, B E = 8 m a n d D F = 13 m$ .
Now, area of quad. $A B C D = a r e a o f Δ A B C + a r e a o f Δ A C D$
$= \frac{1}{2} \times A C \times B E + \frac{1}{2} \times A C \times D F$
$= (12 \times 8 + 12 \times 13) m^{2}$
$= (96 + 156) m^{2} = 252 m^{2}$

Suggest Corrections

Similar questions

Q. If the diagonal of a quadrilateral shaped field is

24 m

and the perpendiculars dropped on it from the remaining opposite vertices are

8 m

and

13 m

, then the area of the field is

The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8m and 12m. Find the area of the field in $m^{2}$ .

Q. Question 4
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

Q. Question 4
The diagonal of a quadrilateral shaped field is 24 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 13 m. Find the area of the field.

The diagonal of a quadrilateral shaped field is 25 m and the perpendiculars dropped on it from the remaining opposite vertices are 8 m and 12 m. Therefore the area of the field is 250m².

Join BYJU'S Learning Program

The diagonal of a quadrilateral shaped field is 24m and the perpendiculars dropped on it from the remaining opposite vertices are 8mand13m. Find the area of the field.

The correct option is A 25.2m2Let ABCD be the given quadrilateral in which BE⊥ACandDF⊥AC.It is given thatAC=24m,BE=8mandDF=13m.Now, area of quad. ABCD=areaofΔABC+areaofΔACD=12×AC×BE+12×AC×DF=(12×8+12×13)m2=(96+156)m2=252m2

The diagonal of a quadrilateral shaped field is $24 m$ and the perpendiculars dropped on it from the remaining opposite vertices are $8 m a n d 13 m$ . Find the area of the field.