HOTS Mathematics Primary 6 Ratio

Two square plots in the school garden have perimeters in the ratio 3 : 2. Plot A has a perimeter of 48 m. What is the area of Plot B?

A 96 m²
B 32 m²
C 48 m²
D 64 m²
Show Worked Solution

Worked Solution

Step 1: Perimeter ratio Plot A : Plot B = 3 : 2. Plot A perimeter = 48 m. Step 2: Plot B perimeter = (2/3) × 48 = 32 m. Step 3: Both plots are squares. Side of Plot B = 32 ÷ 4 = 8 m. Step 4: Area of Plot B = 8 × 8 = 64 m².

Correct answer: 64 m²

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