. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS
= 30m, and segment PT = 25m. Find the area of kite QRST.
8m2
33m2
495m2
990m2
8m2
33m2
495m2
990m2
1 answer:
Answer:
495 meter²
Step-by-step explanation:
In the given kite QRST,
PQ = PS = 15 meter
QR = 17 meter
We have to find the area of the kite.
Since kite is in the form of a rhombus.
and rhombus is = (Diagonal QS) × (Diagonal RT)
In Δ QRP,
17² = 15² + RP²
= √64 = 8 meters.
So RT = RP + PT = 8 + 25 = 33 meter.
Now area of kite = (30) (33) = 495 meter²
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