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# In the figure, PQST is a parallelogram and TSR is a straight line. If the area o...

### Question

In the figure, PQST is a parallelogram and TSR is a straight line. If the area of $$\bigtriangleup$$QRS is 20cm2, find the area of the trapezium PQRT.

### Options

A) 35cm2

B) 65cm2

C) 70cm2

D) 140cm2

The correct answer is C.

### Explanation:

A$$\bigtriangleup$$ = $$\frac{1}{2}$$ x 8 x h = 20

= $$\frac{1}{2}$$ x 8 x h = 4h

h = $$\frac{20}{4}$$

= 5cm

A$$\bigtriangleup$$(PQTS) = L x H

A$$\bigtriangleup$$PQRT = A$$\bigtriangleup$$QSR + A$$\bigtriangleup$$PQTS

20 + 50 = 70cm2

ALTERNATIVE METHOD

A$$\bigtriangleup$$PQRT = $$\frac{1}{2}$$ x 5 x 28

= 70cm2

## Dicussion (1)

• A$$\bigtriangleup$$ = $$\frac{1}{2}$$ x 8 x h = 20

= $$\frac{1}{2}$$ x 8 x h = 4h

h = $$\frac{20}{4}$$

= 5cm

A$$\bigtriangleup$$(PQTS) = L x H

A$$\bigtriangleup$$PQRT = A$$\bigtriangleup$$QSR + A$$\bigtriangleup$$PQTS

20 + 50 = 70cm2

ALTERNATIVE METHOD

A$$\bigtriangleup$$PQRT = $$\frac{1}{2}$$ x 5 x 28

= 70cm2