Math, asked by Sanjana20091124, 10 days ago

The side elevation of an object is in the shape of an trapezium. One of the angles of the trapezium is 90 degree and lengths of the parallel sides are 106mm and 52mm. If the length of the slant side is 90mm find the area of the trapezium

Answers

Answered by shobharana1710
0

A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1m

2

of the field, find the total cost of ploughing the field.

Medium

Solution

Verified by Toppr

Correct option is A)

LetthefieldintheshapeofatrapeziumbePQRSwherePS∥QRand∠P&∠Qare90

o

.

HerePS=90m,RQ=30m&SR=100m

Drawa⊥RTfrompointRontoSP.

NowRT=PQandRT∥PQ.

HenceST=90−30=60m

ApplyingPythagoras

Theoremin△STR,

TR=

(100

2

−60

2

)

=

(10000−3600)

=

6400

=80m

So,thePQ=heightofthetrapezium=80m

TheareaofthetrapeziumPQRS

=

2

1

×PQ×(RQ+SP)

=

2

1

×80×(90+30)

=40×120

=4800

Costofploughing1field=Rs4

∴Costofplouging4800field

=4×4800

=Rs19200

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