A parallelogram has base 9 cm and height 6 cm. Work out its area.
(1)
2
Calculate the area of a parallelogram with base 14 cm and height 2.5 cm. Give your answer in cm2.
(1)
3
A parallelogram has base 8 m and area 56 m2. Work out the height.
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4
Find the area of a trapezium with parallel sides 5 cm and 11 cm and height 6 cm.
(2)
5
A trapezium has parallel sides 9 m and 13 m with height 4 m. Calculate its area in m2.
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6
A compound shape is made of a rectangle 9 cm by 6 cm and a triangle with base 9 cm and height 4 cm attached along the 9 cm side. Work out the total area.
(2)
7
A parallelogram has base 11 cm and area 77 cm2. State the height.
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8
An L-shaped figure is made from two rectangles. One rectangle is 8 m by 5 m and the other is 3 m by 2 m. Find the total area of the L-shape.
(2)
9
A shape is made from a rectangle 12 cm by 5 cm and a trapezium attached to one 5 cm side. The trapezium has parallel sides 5 cm and 9 cm and height 4 cm. Work out the total area of the shape.
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10
A rectangle has area 63 m2 and width 7 m. A parallelogram has the same area and height 9 m. Work out the base of the parallelogram.
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11
A small parallelogram has area 3400 cm2. Express this area in m2.
(2)
12
A trapezium has parallel sides 8 m and 14 m and area 110 m2. Work out its height.
(2)
13
A parallelogram has base 10 cm and height 6 cm. If the base is increased to 15 cm and the height stays the same, work out the new area.
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14
A compound shape consists of a parallelogram with base 16 cm and height 4 cm, and a triangle on top with base 16 cm and height 5 cm. Work out the total area of the shape.
(3)
15
Priya lays a trapezium-shaped flower bed with parallel sides 4 m and 8 m and height 3 m. Soil costs 5 pounds per m2. Calculate the total cost of the soil.
(3)
16
A rectangle 15 m by 8 m has a right-angled triangle removed from one corner. The triangle has legs 5 m and 4 m (the right angle is at the corner). Work out the area remaining after the triangle is removed.
(3)
17
A trapezium-shaped window has parallel sides 3 m and 7 m and height 2.5 m. A second, identical trapezium is placed upside down against the first to form a parallelogram. Work out the area of the parallelogram formed, and hence state the area of one trapezium window.
(3)
18
A compound shape is made from a parallelogram with base 11 cm and height 5 cm, with two congruent right-angled triangles removed from either end, each with base 3 cm and height 5 cm. Work out the area of the remaining shape.
(3)
19
Stretch question. A trapezium has parallel sides in the ratio 2:5 and height 6 cm. Its area is 84 cm2. Work out the lengths of the two parallel sides.
(4)
Mark scheme · KS3.M-G8D Area of Parallelograms, Trapezia and Compound Shapes: Fluency and Exam Drill
Question 1
B1 54 cm2 cao
Answer: 54 cm2
Question 2
B1 35 cm2 cao
Answer: 35 cm2
Question 3
B1 7 m cao
Answer: 7 m
Question 4
M1 uses area = (a + b)/2 x h
A1 48 cm2 cao
Answer: 48 cm2
Question 5
B1 44 m2 cao
Answer: 44 m2
Question 6
M1 finds rectangle area 54 cm2 and triangle area 18 cm2
A1 72 cm2 cao
Answer: 72 cm2
Question 7
B1 7 cm cao
Answer: 7 cm
Question 8
M1 finds each rectangle's area: 40 m2 and 6 m2
A1 46 m2 cao
Answer: 46 m2
Question 9
M1 finds rectangle area 60 cm2 and trapezium area 28 cm2
A1 88 cm2 cao
Answer: 88 cm2
Question 10
M1 uses base = area / height = 63 / 9
A1 7 m cao
Answer: 7 m
Question 11
M1 uses 1 m2 = 10000 cm2
A1 0.34 m2 cao
Answer: 0.34 m2
Question 12
M1 uses height = 2 x area / (a + b)
A1 10 m cao
Answer: 10 m
Question 13
M1 uses new area = 15 x 6
A1 90 cm2 cao
Answer: 90 cm2
Question 14
M1 finds parallelogram area = 64 cm2
M1 finds triangle area = 40 cm2
A1 total area = 104 cm2 cao
Answer: 104 cm2
Question 15
M1 uses area = (4 + 8)/2 x 3
M1 area = 18 m2
A1 cost = 90 pounds cao
Answer: 90 pounds
Question 16
M1 finds rectangle area = 120 m2
M1 finds triangle area = 10 m2
A1 remaining area = 110 m2 cao
Answer: 110 m2
Question 17
M1 uses parallelogram area = (3 + 7) x 2.5
M1 parallelogram area = 25 m2
A1 one trapezium = 12.5 m2 cao
Answer: Parallelogram 25 m2; one trapezium 12.5 m2
Question 18
M1 finds parallelogram area = 55 cm2
M1 finds total triangle area removed = 15 cm2
A1 remaining area = 40 cm2 cao
Answer: 40 cm2
Question 19
M1 sets sides as 2k and 5k and forms (2k + 5k)/2 x 6 = 84