Grade 9 Math (MTH1W) · Geometry and Measurement

Area of composite 2D shapes

Find the area of a composite two-dimensional shape by decomposing it into rectangles, triangles, and semicircles. Unlimited questions, five difficulty levels, and a full worked solution every time, included free with weekly lessons.

Practice this skill Curriculum: MTH1W-E1.3

Try one

A garden shed's front wall is a rectangle topped with a triangular roof. The rectangular part is 10 m wide and 5 m tall; the triangular roof spans the full 10 m width and rises another 4 m. What is the total area of the front wall, in m^2?

Answer: 70

See one solved, step by step

A community garden is shaped like an L: it's a 11 m by 10 m rectangle with a 6 m by 2 m rectangular corner cut out. What is the area of the garden, in m^2?

📘 Worked solution

1Full rectangle: 11 · 10 = 110 m²Start with the area of the big rectangle before anything is removed.

2Cut−out corner: 6 · 2 = 12 m²This piece is missing, so it must be subtracted.

3Area = 110 - 12 = 98 m²Subtract the missing corner from the full rectangle.

Ready to master it?

Jump into unlimited practice. Your Winny Score tracks you to 100. And if it won't click, a real tutor will make it click: first lesson free.

Start practicing