Shape and Space 7
2 marks · EasyTriangle PQR is similar to triangle XYZ. The length PQ = 7 cm and the corresponding side XY = 14 cm. If the area of triangle PQR is 25 cm², find the area of triangle XYZ.
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
Show answer
100 cm^2 (±0.5)
Also accept: 100
Common mistakes: Multiplies by scale factor instead of squaring; Divides by scale factor
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Finds scale factor (14/7 = 2), squares it to get area factor (4).
A1 · 1 mark · Multiplies 25 by 4 to get 100 cm². (follow-through)
Worked solution
Scale factor =
Area factor =
Area of XYZ = cm²