Math, asked by Sadikkk, 10 months ago

find the area of the trapezium PRTS,given that the side ST of the parallelogram PQTS is 28cm, side QT=10cm ,TR=10cm and TM=6cm.

Answers

Answered by CarliReifsteck
16

Given that,

Side of ST = 28 cm

Side of QT = 10 cm

Side of TR = 10 cm

Side of TM = 6 cm

We need to calculate the value of RQ

Using pythagorean theorem,

RM=\sqrt{(RT)^2-(TM)^2}

Put the value into the formula

RM=\sqrt{(10)^2-(6)^2}

RM=8\ cm

So, The value of RQ will be 16 cm.

We need to calculate the area of the trapezium PRTS

Using formula of area

A=Area\ of\ parallelogram\ PQTS-Area\ of\ triangle\ RTQ

A=h\times b-\dfrac{1}{2}\times b\times h

Put the value into the formula

A=28\times6-\dfrac{1}{2}\times16\times6

A=120\ cm^2

Hence, The area of the trapezium PRTS is 120 cm².

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