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

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

Kite has two pairs of adjacant sides equal. So side QR is either equal to QT or to RS. If side QR equals QT. So then QT = 17

Diagonals in kite cross each other at right angle. So in right trinagle QPT, QT is hypotenuse. Now if QT = 17, and we are given PT = 25. We cannot have hypotenuse smaller than other side. So QR cannot be equal to side QT. So QR has to be equal to other adjacent side RS. So we will have kite QRST as shown in figure.

So RS = 17. If side QR and RS are equal so diagonal RT will bisect(divide in half) diagonal QS then.

AS QS = 30 (given) so PS = PQ =

Now in right triangle RPS we have

RS = 17

PS = 15

We have to find other side RP. For that we will use pythagorean formula where c is the hypotenuse side and a and b are the other two sides of triangle. So in right triangle RPS we will have hypotenuse as RS (opposite ot right angle) so we will have. Now plug values in equation. Plug 17 in RS place, 15 in PS place and RP is known so let that be x

now solve for x as shown

8 = x

So RP = 8

Also we are given PT = 25

So diagonal RT= RP + PT = 8 + 25 = 33m

Area of kite is given by formula

where p and q are the diagonals in kite

Here we have digonal RT= 33m and diagonal QS = 30m

So area =

so final answer for area of kite is 495

Step-by-step explanation:

725 parts per hour.

step-by-step explanation:

hi there, this answer is actually really simple.

you can set it up as 1450/2 or 3625/5 to find the answer.

they want to know how much per hour is being made, so you just divide.

1450/2=725.

and that's how many are produced per hour.

hope this . : )

last one.

step-by-step explanation:

last one.

generally speaking, the others follow some sort of pattern that correlates to either linear (looks like a straight line) or sinusoidal (looks like an s).

the last one is just a random cloud of points that doesn't correlate to any particular known order.