📐 Area of Compound Shapes: Visual Decomposer
Compound (or composite) shapes are made by combining two or more simple shapes. To find the total area, we decompose the shape into simpler rectangles, calculate their individual areas, and add them together! Adjust the dimensions below to see how it works dynamically.
L-Shape Area Explorer
📄 Printable Practice Sheet: Grid Decomposition
Name: __________________________ Class: ____________ Date: ____________
Calculate the total area of the compound shape with dimensions: Outer length 10cm, width 8cm, cut-out section 4cm × 3cm.
A T-shaped room consists of a top cross-section (12m × 3m) and a vertical stem (4m × 6m). Find the total floor area.
Decompose this irregular polygon into two rectangles where one has sides 5cm × 4cm and the other 9cm × 6cm.
📖 How to Calculate the Area of a Compound Shape in 3 Simple Steps
Compound shapes (sometimes called composite shapes) might look complicated at first glance, but solving them is easy when you break them down. Follow these three golden rules for GCSE success:
Split the complex shape into simpler, standard shapes (like rectangles, squares, or triangles) by drawing dotted splitting lines.
Use the given total dimensions to calculate any missing side lengths for your individual sub-shapes.
Calculate the area of each separate part ($Area = width \times height$) and add them all together to get the total area.