Question

In figure 1 a parallelogram is drawn in a trapezuim If the area of the paralleogram is 390 cm^2 , find the area of trapezium.

Answer 1

QUESTION➡

In figure 1 a parallelogram is drawn in a trapezuim If the area of the paralleogram is 390 cm^2 , find the area of trapezium.

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ANSWER➡

Area of parallelogram= 390 cm^2

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To find the height,

Area of parallelogram= Base× Height

=> 390= 15× height

=> height= 390/15

=> height= 26 cm

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IN THE CASE OF TRIANGLE,

Base = 25- 15 = 10 cm

Height= 26 cm

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Area of Triangle = 1/2 × base × height

=1/2 ×10× 26

=5× 26

= 130 square cm

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Area of trapezium= Area of parallelogram + Area of Triangle

= 390+130

$= 520cm{}^{2}$

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Therefore,

Area of trapezium is 520 cm^2

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