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SASMO 2022 Grade 5 Question 23

SASMO · SASMO 2022 Grade 5

Question 23

The figure is made of two identical squares and a rectangle. Each square has area 144 cm² and the rectangle has area 216 cm². Points A, B, C and D are vertices of these shapes as shown. The rectangle's breadth is 9 cm. Find the shaded area ABCD, in cm².

The label C is missing from the scan. C is the inward corner directly below B, where the right side of the left square meets the top of the rectangle. The shapes are placed without overlap of their interiors, with horizontal and vertical sides as drawn.

Question illustration

Answer entry: enter the whole number only, without units. The paper uses four shaded digits with leading zeros; ordinary integer entry is accepted here.