Question

Find the height of a Trapezium if the parallel sides are 9m and 15m in length and its area is 48 sq.m.

Answer 1

Answer:

The height is 4 metres.

Explanation :

Here, In a trapezium the parallel sides are given i.e., 9m and 15m and it's area is 48m².So, we need to find it's height.

We know that,

Area of a trapezium :

→ ½ • sum of parallel sides • height

We have,

• sum of parallel sides = (9 + 15)m
• Area of the trapezium = 48m²
• height = h(assuming)

According to the question :

→ 48 = ½ • (9 + 15) • h

→ 48 = ½ • (24) • h

→ 48 = 12 • h

→ 48/12 = h

→ 4 = h

Therefore, the height is 4metres.

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Answer 2

Step-by-step explanation:

a = 9m

b = 15m

area = 48 sq.m

$\frac{1}{2} (a + b)h = 48 \\ (9 + 15)h = 48 \times 2 \\ 24h = 48 \times 2 \\ h = \frac{48 \times 2}{24} \\ h = 4m$