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BECE Mathematics 2016 Paper

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Question : 32

Total: 40

The diagonal of a rectangle is 10 cm long. If the length of the rectangle is 8 cm , find its breadth.

2 cm
3 cm
5 cm
6 cm

Solution:

Concept:

A rectangle has right angles, so the diagonal splits it into two right-angled triangles. Use Pythagoras theorem.

Explanation:

Let breadth be

b

cm.

Diagonal is the hypotenuse =

10

cm, length =

8

cm.

By Pythagoras theorem:

10^2 = 8^2 + b^2

100 = 64 + b^2

b^2 = 100 - 64 = 36

b = \sqrt{36} = 6

∴ Breadth =

6

cm.

Answer:

D.

6

cm

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