Areas of Parallelograms and Triangles Test

Result

Areas of Parallelograms and Triangles Test - 4

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Weekly Quiz Competition

Question 1
1 / -0

In Δ"ABC and Δ"PQR, AB = PQ, BC = QR and AC = PR. If ar(Δ"ABC) = 20 sq. units, ar(Δ"PQR) = ______.

A
10 sq. units

B
20 sq. units

C
40 sq. units

D
30 sq. units
Question 2
1 / -0

In the given figure, ABCD is a parallelogram. Which of the following relationships is correct?

A
ar(ΔADB) = ar(ΔDBC)

B
ar(ΔADB) = ar(ΔAEB)

C
ar(ΔADB) = ar(ABCD)

D
ar(ΔAEB) = 1/2ar(ABCD)

Solution

Parallelogram ABCD and ΔADB are on the same base AB and between the same parallels AB and CD.

⇒ ar(ABCD) = 2ar(ΔADB) … (1)
Also, parallelogram ABCD and ΔDBC are on the same base CD and between the same parallels AB and CD.

⇒ ar(ABCD) = 2ar(ΔDBC) … (2)
From (1) and (2), 2 x ar(ΔADB) = 2 x ar(ΔDBC)

⇒ ar(ΔADB) = ar(ΔDBC)