Question

the figure shows a parallelogram pqrs where qr=10m.if st=8m and su=11.2m​

Answer 1

Answer:

14cm

Step-by-step explanation:

As PQ is perpendicular to ST

and QR is perpendicular to SU

so

PQ * ST = QR * SU

PQ * 8m = 10m * 11.2m

PQ * 8m= 112m

PQ = 112/8

PQ = 14m

Answer 2

Answer:

The length of the side PQ = 14m

Step-by-step explanation:

Given,

In Parallelogram PQRS

QR = 10m

ST = The perpendicular drawn to the side PQ = 8m

SU = The perpendicular drawn to the side QR = 11.2m

To find

The length of the side PQ

Recall the formula

The area of the parallelogram = product of the base and corresponding altitude

Solution:

In the given triangle, the altitude corresponding to the base QR = SU,

Hence area of the parallelogram PQRS with QR as base = QR ×SU

the altitude corresponding to the base PQ = ST

Area of the parallelogram PQRS with PQ as base = PQ ×ST

Comparing the areas in both the cases, we get

QR ×SU = PQ ×ST

Substituting the values of QR, SU and ST we get

10×11.2 = PQ× 8

112 = PQ× 8

PQ = $\frac{112}{8}$ = 14

∴ The length of the side PQ = 14m

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