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BECE Mathematics 2025 Paper

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Question : 3

Total: 40

The area of a rectangular card is

15 \mathrm{~cm}^{2}

. If each side of the card is enlarged by a scale factor 3, find the area of the enlarged card.

$45 \mathrm{~cm}^{2}$
$75 \mathrm{~cm}^{2}$
$90 \mathrm{~cm}^{2}$
$135 \mathrm{~cm}^{2}$

Solution:

Concept:

When lengths are enlarged by a scale factor, the area is multiplied by the square of the scale factor.

Explanation:

Scale factor

= 3

Area scale factor

= 3^2 = 9

Original area

= 15 \mathrm{~cm}^{2}

Enlarged area

= 15 \times 9 = 135 \mathrm{~cm}^{2}

Answer:

135 \mathrm{~cm}^{2}

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