Find the area of a trapezoid with bases of 8cm and 16cm and a height of 10cm.

Solution:

The area of a trapezoid is the number of unit squares that can be fit into it and it is measured in square units.

To find the area of a trapezoid, it is enough to know the lengths of two of its parallel sides and the distance (height) between them.

The area (A) of a trapezoid whose bases are a and b and whose height is h (the perpendicular distance between a and b) is,

A = 1/2(a + b) h

It is given that

a = 8cm, b = 16cm, and h = 10cm

Substituting the values in the formula, we get

A = 1/2(8 + 16) × 10

By further calculation

A = 1/2(24) × 10

So we get,

A = 12 × 10

A = 120cm²

Therefore, the area of a trapezoid is 120cm².

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Find the area of a trapezoid with bases of 8cm and 16cm and a height of 10cm.

Summary:

The area of a trapezoid with bases of 8cm and 16cm and a height of 10cm is 120cm².