Standard Mathematics Primary 4 Geometry

A rectangular school flag has a perimeter of 56 cm. The length of the flag is 4 cm more than twice its breadth. Find the length of the flag.

A 8 cm
B 16 cm
C 20 cm
D 28 cm
Show Worked Solution

Worked Solution

Step 1: Let the breadth of the flag be b cm. Then the length is (2b + 4) cm because length = 2 × breadth + 4. Step 2: Recall that perimeter of a rectangle = 2 × (length + breadth). So 2 × (b + 2b + 4) = 56. Step 3: Simplify inside the brackets: 2 × (3b + 4) = 56, which gives 6b + 8 = 56. Step 4: Solve for b: 6b = 56 − 8 = 48, so b = 48 ÷ 6 = 8 cm. The breadth is 8 cm. Step 5: Find the length: length = 2(8) + 4 = 16 + 4 = 20 cm. Check: perimeter = 2(20 + 8) = 2(28) = 56 cm ✓. Final answer: 20 cm. Answer: 20 cm

Correct answer: 20 cm

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