Exercises: Perimeter and Area of Plane Figures
Work through each section in order. Show your working, and always write the correct unit (cm or cm²) with your answer.
Recall / Warm-Up
These problems review skills you already know.
A rectangle has a right angle at each corner. Which pair of sides are always equal in length?
Only the two longer sides
Opposite sides (both pairs)
Only the two shorter sides
No sides are necessarily equal
Which unit would you use to report the amount of grass needed to cover a rectangular lawn?
Metres (m), because you are measuring around the lawn's edge
Square metres (m²), because you are covering a surface
Litres, because grass is bought like a liquid
Kilograms, because grass has weight
A triangle has three sides of the given lengths. Look at the labeled triangle below and find its perimeter.
Fluency Practice
Find the perimeter of a rectangle 7 cm long and 4 cm wide.
Find the perimeter of the triangle shown, whose three sides are labeled.
A rectangle measures 5 cm by 4 cm. What is its area?
cm² -- multiply the length and the width, since area counts the unit squares that tile the rectangle
cm² -- add the length and width, then double the result
cm² -- add the length and the width directly
cm -- multiply the length and width, but report it as a length since that's the more familiar unit
A triangle has a base of 9 cm and a perpendicular height of 4 cm. Find its area.
A parallelogram has a base of 10 cm and a perpendicular height of 6 cm. Find its area.
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