Common Core 6.G.A.1 worksheet

Question 1

A trapezoid (trapezium) has parallel sides 8 ft and 15 ft, and height 4 ft. What is its area, in ft²?

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Question 2

A triangle has base 5 yd and perpendicular height 6 yd. What is its area, in yd²?

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Question 3

A triangle has area 9 cm² and base 9 cm. What is its height, in cm?

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Question 4

A parallelogram has base 12 m and perpendicular height 15 m. Find its area in m².

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Question 5

A house-shaped sign is a 10 cm wide, 5 cm tall rectangle with a triangle on top. The triangle has the same base and is 4 cm tall. What is the total area, in cm²?

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Question 6

A trapezoid has area 72 cm² and parallel sides 6 cm and 10 cm. What is its height, in cm?

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Question 7

A parallelogram has base 13 m and perpendicular height 3 m. What is its area, in m²?

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Question 8

A right triangle has legs b and 9 m. Its area is 36 m². Find b, in m.

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Question 9

A raised garden bed is a trapezoid with parallel sides 4 m and 5 m, 4 m apart. One bag of compost covers 1 m². How many bags are needed to cover it? (Whole bags only.)

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Question 10

A triangle has area 36 ft² and base 9 ft. What is its height, in ft?

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Question 11

A parallelogram has base 11 cm, slanted side 6 cm and perpendicular height 5 cm. Maya says the area is 66 cm². What is the correct area, in cm²?

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Question 12

A parallelogram has area 72 cm² and base 6 cm. What is its perpendicular height, in cm?

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Question 13

A right triangle has legs of 15 yd and 4 yd. What is its area, in yd²?

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Question 14

An L-shaped room is a 13 m by 11 m rectangle with a 7 m by 6 m rectangle missing from one corner. What is its floor area, in m²?

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Question 15

A rectangular pond is 8 m by 9 m. A path 1 m wide goes all the way around it. What is the area of the path, in m²?

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Question 16

A trapezoid (trapezium) has parallel sides 8 m and 14 m, and height 14 m. Find its area in m².

Answer