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WAEC Mathematics 2024 Paper

Question : 41

Total: 50

^2

, the area of the rectangle.

Solution:

Concept:

In a rectangle, opposite sides are equal. Use this to find

x

, then the side lengths, and finally the area.

Explanation:

Opposite sides of the rectangle are equal, so:

5x + 3 = 2x + 9

Collect like terms:

5x - 2x = 9 - 3

3x = 6

x = \frac{6}{3} = 2

Substitute

x = 2

into one of the equal sides:

5(2) + 3 = 10 + 3 = 13 \, \text{m}

The adjacent side is given as

6x - 7

, so:

6(2) - 7 = 12 - 7 = 5 \, \text{m}

Area of the rectangle:

\text{Area} = \text{length} \times \text{breadth} = 13 \times 5 = 65 \, \text{m}^2

Answer:

The area is

65 \, \text{m}^2

, so the correct option is B.

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