Test Index

BECE Mathematics 2018 Paper

Question : 19

Total: 40

Solution:

Concept:

For a rectangle, the perimeter helps find the unknown breadth. Then use length × breadth to get the area.

Explanation:

Given: Perimeter

= 26\ \text{cm}

and Length

= 10\ \text{cm}

Let Breadth

= B\ \text{cm}

Perimeter formula:

P = 2(\text{Length} + \text{Breadth})

Substitute the values:

26 = 2(10 + B)

Divide both sides by 2:

13 = 10 + B

Subtract 10 from both sides:

B = 3\ \text{cm}

Now find the area:

Area

= \text{Length} \times \text{Breadth}

Area

= 10 \times 3

Area

= 30\ \text{cm}^2

Answer:

The area of the rectangle is

30\ \text{cm}^2

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