WAEC 2024 Mathematics · Question 10

A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

Options

A.8m
B.14m
C.16m
D.24m

Answer: A. 8m

Explanation written with AI and checked against the answer key

Analyze the question A rod 44 m long is bent to form a rectangle. This means the perimeter of the rectangle is 44 m. The length : breadth = 7 : 4, and we need the breadth. Concept Perimeter of a rectangle = 2(l + b) Solution Let length = 7x and breadth = 4x. 2(7x + 4x) = 44 2(11x) = 44 22x = 44 x = 2 Breadth = 4x = 4 × 2 = 8 m (Length = 7 × 2 = 14 m. Check: 2(14 + 8) = 44 ✓) Answer The breadth is 8 m, which is option A. Tip When a wire or rod is "bent" or "cut to form" a shape, its length equals the perimeter of that shape. Also, always use a ratio multiplier (like x) and check your answer by plugging it back into the perimeter. Note that 14 m (option B) is the length, not the breadth, so read the question carefully for what is being asked.

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