Area of Parallelograms and Triangles Worksheets

# Area of Parallelograms and Triangles Worksheets

Area of Parallelograms and Triangles Worksheets help in revising the maths concepts.

## Area of Parallelograms and Triangles Worksheet 1 with Answers

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 cm2. 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 cm2, then 51 cm2 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 cm2 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 with Answers

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, CNAD such that CM = AN. Prove that area (Î” ABM) = area (Î” CDN).

Worksheet 1

1. 36 sq. units      2. 32 cm2

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 cm2      b. 84.5 cm2

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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