WAEC 2024 · Paper 1 · Q41

Plane mensuration
Linear & simultaneous equations

Two opposite sides of a rectangle are $(5x + 3)\text{ m}$ and $(2x + 9)\text{ m}$ . If an adjacent side is $(6x - 7)\text{ m}$ , find, in $\text{m}^2$ , the area of the rectangle.

Worked solution (try it first)

Opposite sides of a rectangle are equal: $5x + 3 = 2x + 9$ , so $3x = 6$ and $x = 2$ .
The sides are $5(2) + 3 = 13$ m and $6(2) - 7 = 5$ m.
Area $= 13 \times 5 = 65\text{ m}^2$ , option B.

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