Question

The area of a trapezium is 34cm2 and the height is 4cm find the sum of parallel sides

Answer 1

Answer:

17cm

Step-by-step explanation:

The formula for the area $\sf (A)$ of a trapezium is given by:

$\sf A = \dfrac{1}{2}h(a + b)$

where:

• $\sf h$ is the height of the trapezium,
• $\sf a$ and $\sf b$ are the lengths of the two parallel sides.

In this case, the area $\sf (A)$ = 34 cm² and the height ($\sf h$) is 4 cm.

Let $\sf a$ and $\sf b$ represent the lengths of the two parallel sides.

$\sf 34 = \dfrac{1}{2}(4)(a + b)$

Now, solve for $\sf a + b$:

$\sf 34 = 2(a + b)$

$\sf 17 = a + b$

So, the sum of the parallel sides $\sf (a + b)$ is 17 cm.