Worksheets · Foundation and Higher

Areas of triangles, quadrilaterals and composites

3 exam-style questions. Answers and the mark for each step are on the last page.

Question 1Non-calculator · 2 marks
(a) A triangle has base 14 cm and perpendicular height 9 cm. Work out its area. (2)
Question 2Non-calculator · 4 marks
A 9 m by 7 m rectangle has a 3 m by 3 m rectangular corner removed.
(a) Find the remaining area. (2)
(b) Find the perimeter of the remaining L-shape. (2)
Question 3Non-calculator · 4 marks
A square has sides of length $2x$ cm. A right-angled triangle with shorter sides $x$ cm and $x$ cm is cut from one corner. The area of the shape that is left is $56\text{ cm}^2$ .
(a) Find the value of $x$ . (3)
(b) Work out the area of the triangle that was cut off. (1)

Answers and marks

(a) $63$ cm²

(a) $54$ m²

(b) $32$ m

P1 The two new inner edges replace equal lengths removed from the outer boundary.
A1 Correct answer: $32$ m

(a) $x = 4$

(b) $8\text{ cm}^2$

Areas of triangles, quadrilaterals and composites

Type your working online and see every mark you earned and lost.