Advanced Mathematics Primary 5 Area of Triangle

A rectangular banner is 30 cm wide and 16 cm tall. A triangular pennant is painted in the centre of the banner. The pennant has a base of 18 cm along the bottom of the banner and a height of 10 cm. The rest of the banner (not covered by the pennant) is shaded grey. What is the area of the shaded grey region?

A 390 cm²
B 300 cm²
C 330 cm²
D 336 cm²
Show Worked Solution

Worked Solution

Step 1: Area of rectangle = 30 × 16 = 480 cm² Step 2: Area of triangular pennant = ½ × base × height = ½ × 18 × 10 = 90 cm² Step 3: Area of shaded region = 480 − 90 = 390 cm² Answer: 390 cm²

Correct answer: 390 cm²

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