Question

find the height of the trapezium whose area is 1080cm^2and lengths of the parallel sides are 55.6cm and 34.4 cm


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Answer 1

Answer:

Height of the trapezium = 24 cm

Step-by-step explanation:

Given:

• Area of the trapezium = 1080 cm²
• Length of the parallel sides are 55.6 cm and 34.4 cm

To Find:

• Height of the trapezium

Solution:

Here area of the trapezium is sum of the areas of the parallelogram and the triangle.

Area of a parallelogram is given by,

Area of a parallelogram = b × h

where b = base

           h =  height

Hence,

Area of the parallelogram = 34.4 × h

Now area of a triangle is given by,

Area of triangle = 1/2 × h × b

Area of triangle = 1/2 × h × (55.6 - 34.4)

Area of triangle = 1/2 × h × 21.2

Area of triangle = 10.6 h

By given,

Area of trapezium = Area of triangle + Area of parallelogram

Substitute the data,

10.6h + 34.4h = 1080

45h = 1080

h = 1080/45

h = 24 cm

Hence height of the trapezium is 24 cm.