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WAEC Mathematics 2024 Paper

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Question : 20

Total: 50

A piece of rod of length 44 m is cut to form a rectangular shape such that the ratio of the length to the breadth is 7: 4. Find the breath.

8m
14m
16m
24m

Solution:

Concept:

The rod length forms the perimeter of the rectangle.

The given ratio connects the length and breadth.

Explanation:

Let the breadth be

B

and the length be

L

.

Perimeter of rectangle

= 2(L + B)

.

Given,

2(L + B) = 44

m.

So,

L + B = 22

m.

Ratio

L : B = 7 : 4

means

\frac{L}{B} = \frac{7}{4}

.

Hence,

L = \frac{7B}{4}

.

Substitute into

L + B = 22

:

\frac{7B}{4} + B = 22

.

\frac{7B + 4B}{4} = \frac{11B}{4} = 22

.

Cross multiply:

11B = 88

.

B = \frac{88}{11} = 8

m.

Answer:

A.

8

m

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