What is the area of the trapezoid? The diagram is not drawn to scale.

Solution:

The formula to find the area of the trapezoid is 

A = 1/2 h (a + b)

Where h is the perpendicular height

a and b are the parallel bases

It is given that

h = 4 cm

a = 5 cm

b = 9 cm

Substituting the values in the formula

A = 1/2 × 4 (5 + 9)

By further calculation

A = 1/2× 4 (14)

A = 1/2 × 56

So we get

A = 28 cm²

Therefore, the area of the trapezoid is 28 cm².

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What is the area of the trapezoid? The diagram is not drawn to scale.

Summary:

The area of the trapezoid is 28 cm².