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Area & perimeter practice questions with answers

Foundation · Grade 2

A second set of area & perimeter questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A triangle has base 10 cm and height 6 cm. What is its area?

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Answer: 30

  1. Use half of base times height.
  2. The value is 30.
  • Method (1): Use half of base times height.
  • Accuracy (1): Answer 30

Question 2 Easy

A trapezium has parallel sides 6 cm and 10 cm, and height 4 cm. What is its area?

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Answer: 32

  1. Average the parallel sides, then multiply by the height.
  2. The value is 32.
  • Method (1): Average the parallel sides, then multiply by the height.
  • Accuracy (1): Answer 32

Question 3 Medium

A square has perimeter 20 cm. What is its area?

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Answer: 25

  1. Divide the perimeter by 4 to get the side.
  2. Square the side.
  • Method (1): Divide the perimeter by 4 to get the side.
  • Accuracy (1): Answer 25

Question 4 Medium

An L-shape is a 8 by 6 rectangle with a 3 by 2 rectangle removed from one corner. What is the remaining area?

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Answer: 42

  1. Find the large rectangle.
  2. Subtract the missing rectangle.
  • Method (1): Find the large rectangle.
  • Accuracy (1): Answer 42

Question 5 Hard

A rectangle is 8 cm by 3 cm. A triangle has the same base and the same height. How much smaller is the triangle's area?

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Answer: 12

  1. The triangle is half the rectangle.
  2. The difference is the other half.
  • Method (1): The triangle is half the rectangle.
  • Accuracy (1): Answer 12

Question 6 Hard

A picture is 10 cm by 8 cm, including a frame 1 cm wide on every side. What is the area of the picture inside the frame?

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Answer: 48

  1. Take 1 cm off each side.
  2. The inside is 2 cm shorter and 2 cm narrower.
  • Method (1): Take 1 cm off each side.
  • Accuracy (1): Answer 48

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 12 marks

A rectangular field is 13 m by 7 m. A path runs around all four sides. How long is the path?

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Answer: 40

  1. The path is the perimeter.
  2. The value is 40.
  • Method (1): The path is the perimeter.
  • Accuracy (1): Answer 40

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A rectangle is 23 cm by 4 cm. What is its area in cm²?

  1. 92 cm²
  2. 94 cm²
  3. 102 cm²
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92 cm² The result is 92 cm².

Check 2

A triangle has base 16 cm and perpendicular height 5 cm. What is its area in cm²?

  1. 40 cm²
  2. 42 cm²
  3. 50 cm²
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40 cm² The result is 40 cm².

Check 3

A rectangle is 28 cm long and 4 cm wide. What is its perimeter in cm?

  1. 64 cm
  2. 66 cm
  3. 74 cm
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64 cm The result is 64 cm.

Check 4

A rectangle has perimeter 34 cm and length 13 cm. What is its width in cm?

  1. 4 cm
  2. 6 cm
  3. 14 cm
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4 cm The result is 4 cm.

Check 5

A rectangle is 27 cm by 5 cm. What is its area in cm²?

  1. 135 cm²
  2. 137 cm²
  3. 145 cm²
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135 cm² The result is 135 cm².

Check 6

A triangle has base 18 cm and perpendicular height 6 cm. What is its area in cm²?

  1. 54 cm²
  2. 56 cm²
  3. 64 cm²
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54 cm² The result is 54 cm².

Check 7

A rectangle is 32 cm long and 5 cm wide. What is its perimeter in cm?

  1. 74 cm
  2. 76 cm
  3. 84 cm
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74 cm The result is 74 cm.

Check 8

A rectangle has perimeter 38 cm and length 14 cm. What is its width in cm?

  1. 5 cm
  2. 7 cm
  3. 15 cm
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5 cm The result is 5 cm.

Check 9

A rectangle is 31 cm by 6 cm. What is its area in cm²?

  1. 186 cm²
  2. 188 cm²
  3. 196 cm²
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186 cm² The result is 186 cm².

Check 10

A triangle has base 20 cm and perpendicular height 7 cm. What is its area in cm²?

  1. 70 cm²
  2. 72 cm²
  3. 80 cm²
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70 cm² The result is 70 cm².

Check 11

A rectangle is 36 cm long and 6 cm wide. What is its perimeter in cm?

  1. 84 cm
  2. 86 cm
  3. 94 cm
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84 cm The result is 84 cm.

Check 12

A rectangle has perimeter 42 cm and length 15 cm. What is its width in cm?

  1. 6 cm
  2. 8 cm
  3. 16 cm
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6 cm The result is 6 cm.

Check 13

A rectangle is 35 cm by 7 cm. What is its area in cm²?

  1. 245 cm²
  2. 247 cm²
  3. 255 cm²
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245 cm² The result is 245 cm².

Check 14

A triangle has base 22 cm and perpendicular height 4 cm. What is its area in cm²?

  1. 44 cm²
  2. 46 cm²
  3. 54 cm²
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44 cm² The result is 44 cm².

Check 15

A rectangle is 40 cm long and 3 cm wide. What is its perimeter in cm?

  1. 86 cm
  2. 88 cm
  3. 96 cm
Show answer

86 cm The result is 86 cm.

Keep going with Area & perimeter

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