Question

A tabletop in the shape of a trapezoid has an area of 5,369 square centimeters. Its longer base measures 131 centimeters, and the shorter base is 105 centimeters. What is the height?

Answer 1

Answer:

The height of the trapezoid  = 45.5 cm

Step-by-step explanation:

Here, the length of the base = 131 cm

The length of the shorter side = 105 cm

Let us assume the height = h

Also, area of the trapezoid = 5,369 sq. cm

Now, AREA OF THE TRAPEZOID  = $\frac{1}{2} \times \textrm{(Sum of parallel sides)} \times h$

$\implies 5,369 = \frac{1}{2} \times (131 + 105) \times h\\\implies h = \frac{5,369 \times 2}{236} = 45.5$

or, h = 45.5 cm

Hence the height of the trapezoid  = 45.5 cm