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BECE Mathematics 2026 Paper

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Question : 12

Total: 40

A square of area

144 \mathrm{~cm}^{2}

has the same perimeter as an equilateral triangle. Find the length of a side of the triangle.

10 cm
16 cm
14 cm
18 cm

Solution:

Concept:

Find the side of the square from its area, then use the equal perimeter to find the triangle side.

Explanation:

Area of square

= 144 \mathrm{~cm}^{2}

, so

Side of square

= \sqrt{144} = 12 \mathrm{~cm}

.

Perimeter of square

= 4 \times 12 = 48 \mathrm{~cm}

.

The equilateral triangle has the same perimeter, so

3 \times \text{side} = 48

.

Side of triangle

= \frac{48}{3} = 16 \mathrm{~cm}

.

Answer:

16 \mathrm{~cm}

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