Question

Trapezium PQRS lies inside the rhombus PQTU. The area of rhombus is
16,38 m'and area of shaded portion is 8.14 m. Find the area of trapezium
Also find the height of trapezhim if PQ=0.6 mand RS-43 cm
​

Answer 1

Given : Trapezium PQRS lies inside the rhombus PQTU.

The area of rhombus is 16,38 m² and area of shaded portion is 8.14 m².

PQ=0.6  and RS-43 cm

To Find :  the area of trapezium

 the height of trapezium  

Solution:

Area of rhombus =  16.38    m²

area of  shaded portion = 8.14 m²

Area of trapezium = Area of rhombus - area of  shaded portion

=> Area of trapezium = 16.38 - 8.14  

=> Area of trapezium = 8.24   m²

Area of trapezium = (1/2) (PQ + RS) * (height of trapezium )

PQ = 0.6 m  , RS = 43 cm = 0.43  

= (1/2)( 0.6 + 0.43) *  (height of trapezium )

=  (1/2)( 1.03) *  (height of trapezium )

(1/2)( 1.03) *  (height of trapezium ) = 8.24

=> height of trapezium = 16

height of trapezium = 16 m

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