Advanced Mathematics Primary 4 Area and Perimeter

The diagram shows a tiling pattern in the shape of an L. The outer rectangle measures 12 cm by 9 cm. A rectangular section measuring 5 cm by 4 cm is cut away from the top-right corner to form the L-shape. What is the area of the L-shaped tile?

A 88 cm²
B 108 cm²
C 128 cm²
D 63 cm²
Show Worked Solution

Worked Solution

Step 1: Find the area of the full outer rectangle. Area = 12 × 9 = 108 cm² Step 2: Find the area of the cut-away rectangular section. Area = 5 × 4 = 20 cm² Step 3: Subtract the cut-away area from the full rectangle. Area of L-shape = 108 − 20 = 88 cm² Answer: 88 cm²

Correct answer: 88 cm²

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