**Area of
Parallelograms and Triangles Worksheets with Answers**

**Area of Parallelograms and Triangles Worksheets** play a vital role in strengthening the maths
concepts. After studying the concepts of mathematics, revision of **Area of Parallelograms and Triangles Worksheets** is very important for the students. This
assesses the preparation of the students. Students can assess themselves by its
own by solving the **Area of Parallelograms and Triangles Worksheets**. Parents and teachers can also assess
the students by giving them these **Area of Parallelograms and Triangles Worksheets** to solve.

Maths-formula brings such worksheets on **Area of Parallelograms
and Triangles Class 9** for you. The theorems on area of a parallelogram and
a triangle are introduced in class 9. I am providing the worksheets based on
those theorems. By solving these **Area of Parallelograms and Triangles Worksheets**, you can increase the understanding
of the concepts learnt. These worksheets are prepared by experienced teachers
and subject matter experts.

Thus, let us try to attempt these
questions to solve and assess yourself. Parents and teachers can also give
these questions to the students to test them. Unit tests can also be prepared
by the teachers using these **Area of Parallelograms and Triangles Worksheets**.

**Area of
Parallelograms and Triangles Worksheet 1**

**1. **In the following figure *p *|| *q*,
area of Î”ABC is 36 sq. units, then what will be the area of Î”BAD?

**2. **In the given figure, ABCD is a rectangle and X
is any point on CD such that the area of Î”AXB = 16 cm^{2}. Find the
area of the rectangle ABCD.

**3. **In the given figure, BC || XY. Show that area
(Î”OBX) = area (Î”OCY).

**4. **In the given figure, find the height of Î”POS.

**5.
**State true or false.

a.
Parallelograms with equal bases and between the same parallel lines are equal
in area.

b.
A diagonal of a parallelogram divides it into two congruent triangles having
different area.

c. If the area of a triangle is 25.5 cm^{2}, then 51 cm^{2}
is the area of a parallelogram when triangle and parallelogram are on the same
base and between the same parallel lines.

**6. **In the given figure two ||gms PQRS and PQZY
are shown. If the area of ||gm PQRS is 38.4 cm^{2} and PQ = 6 cm, then
find the height of ||gm PQZY.

**7. **In the given figure, AD and BE are medians of
Î”ABC and Î”ABD respectively. Show that area (Î”BEC) = area (Î”ABD).

**8. **In the given figure, ABCD is a parallelogram
and AD || FE || BC. Prove that area (Î”AEB) = area (Î”DFC).

**9. **In the given figure, ABCD and ABEF are two
parallelograms on the same base AB. Show that area (Î”ADB) = area (Î”EBF).

**Area of
Parallelograms and Triangles Worksheet 2**

**1. **In the given figure ABCD is a square of side
13 cm and ABEF is a parallelogram. Find

a. the area of || gm ABEF

b.
the area of Î”XEF

**2.** Given two parallelograms ABCD and
EFCD. Show that area (Î”MAC) = 1/2 area (||gm ABCD)

**3. **PQRS is a parallelogram where PN ⊥ RS
and RT ⊥ PS. If QR = 10 cm, RT = 9 cm and PN = 4 cm, find
RS.

**4. **ABDC is a parallelogram. E and F are the
midpoints of sides AC and BD respectively. Show that area (|| gm ABFE) = area
(|| gm CDFE).

**5. **In the given figure, O is a point in the
interior of a parallelogram ABCD. Show that area (Î”AOD) + area (Î” OBC) = area
(Î”AOB) + area (Î”COD)

**6. **Given
ABCD is a quadrilateral and area (Î”AOD) = area (BOC). Show that the
quadrilateral is a parallelogram.

**7.
**In the given figure, E is any point on the
median AD of Î”ABC. Show that

a.
area (Î” EDB) = area (Î”EDC)

b. area (Î”ABE) =
area (Î”ACE)

**8. **ABCD is parallelogram. Given, AM⊥
BC, CN⊥AD such that CM = AN. Prove that area (Î” ABM)
= area (Î” CDN).

**ANSWERS**

**Worksheet 1**

1. 36 sq. units 2. 32 cm^{2}

3. Do it yourself

4. 3 cm

5. a. True b. False

c. True

6. 6.4 cm

7. Do it yourself

8. Do it yourself

9. Do it yourself

**Worksheet 2**

1. a. 169 cm^{2} b. 84.5 cm^{2}

2. Do it yourself

3. 22.5 cm

4. Do it yourself

5. Do it yourself

6. Do it yourself

7. Do it yourself

8. Do it yourself

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