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 — free.
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.
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