Sasi Math (Revised for 1024)

Scroll:Measurements >> Trapezium >> mcq (4461)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

In an isosceles trapezium

1) height = base
2) non parallel sides are equal
3) parallel sides are equal
4) parallel side = non parallel side

( )

The height of a trapezium whose sum of parallel sides is 10 cm and the area 170 cm² is

1) 35
2) 36
3) 33
4) 34

( )

The area of trapezium is ______ sq.units.

(A) h(a+b) (B) $\frac{1}{2}$ h(a+b) (C) h(a+b) (D) $\frac{1}{2}$ h(a-b)

1) C
2) A
3) B
4) D

( )

The sum of parallel sides of a trapezium is 24cm and height is 25cm. Then its area is...

1) 302
2) 305
3) 300
4) 295

( )

In an isosceles trapezium

1) parallel side = non parallel side
2) height = base
3) parallel sides are equal
4) non parallel sides are equal

( )

The height of a trapezium whose sum of parallel sides is 40 cm and the area 140 cm² is

1) 8
2) 9
3) 6
4) 7

( )

The area of trapezium is ______ sq.units.

(A) h(a+b) (B) $\frac{1}{2}$ h(a+b) (C) h(a+b) (D) $\frac{1}{2}$ h(a-b)

1) D
2) B
3) A
4) C

( )

The sum of parallel sides of a trapezium is 24cm and height is 20cm. Then its area is...

1) 242
2) 240
3) 245
4) 235

( )

In an isosceles trapezium

1) parallel side = non parallel side
2) parallel sides are equal
3) non parallel sides are equal
4) height = base

( )

10)

The height of a trapezium whose sum of parallel sides is 20 cm and the area 120 cm² is

1) 14
2) 11
3) 13
4) 12

( )

In an isosceles trapezium

1) parallel sides are equal
2) parallel side = non parallel side
3) height = base
4) non parallel sides are equal

Answer: 4

SOLUTION 1 :

Ans = non parallel sides are equal

In an isosceles trapezium, non-parallel sides are equal.

The height of a trapezium whose sum of parallel sides is 10 cm and the area 170 cm² is

1) 34
2) 35
3) 36
4) 33

Answer: 1

SOLUTION 1 :

Given,

Area = 170 cm² a + b = 10

Area of trapezium = $\frac{1}{2}$ h (a+b)

= $\frac{1}{2}$ x h x 10 = 170 cm²

170 cm² = 1 / 2 x h x 10 ⁵

h = $\frac{170}{5}$ = 34 cm.

The height of trapezium = 34 cm.

The area of trapezium is ______ sq.units.

(A) h(a+b) (B) $\frac{1}{2}$ h(a+b) (C) h(a+b) (D) $\frac{1}{2}$ h(a-b)

1) C
2) B
3) D
4) A

Answer: 2

SOLUTION 1 :

Ans = B

Area of trapezium = $\frac{1}{2}$ h(a+b) sq.units.

The sum of parallel sides of a trapezium is 24cm and height is 25cm. Then its area is...

1) 300
2) 295
3) 302
4) 305

Answer: 1

SOLUTION 1 :

Given,

a + b = 24 cm, h = 25 cm.

Area of trapezium = $\frac{1}{2}$ h(a+b)

= 1/2 25 x 24 ¹²

= 25 x 12

Area of trapezium = 300 cm²

In an isosceles trapezium

1) non parallel sides are equal
2) parallel sides are equal
3) height = base
4) parallel side = non parallel side

Answer: 1

SOLUTION 1 :

Ans = non parallel sides are equal

In an isosceles trapezium, non-parallel sides are equal.

The height of a trapezium whose sum of parallel sides is 40 cm and the area 140 cm² is

1) 9
2) 8
3) 6
4) 7

Answer: 4

SOLUTION 1 :

Given,

Area = 140 cm² a + b = 40

Area of trapezium = $\frac{1}{2}$ h (a+b)

= $\frac{1}{2}$ x h x 40 = 140 cm²

140 cm² = 1 / 2 x h x 40 ²⁰

h = $\frac{140}{20}$ = 7 cm.

The height of trapezium = 7 cm.

The area of trapezium is ______ sq.units.

(A) h(a+b) (B) $\frac{1}{2}$ h(a+b) (C) h(a+b) (D) $\frac{1}{2}$ h(a-b)

1) C
2) D
3) A
4) B

Answer: 4

SOLUTION 1 :

Ans = B

Area of trapezium = $\frac{1}{2}$ h(a+b) sq.units.

The sum of parallel sides of a trapezium is 24cm and height is 20cm. Then its area is...

1) 240
2) 242
3) 245
4) 235

Answer: 1

SOLUTION 1 :

Given,

a + b = 24 cm, h = 20 cm.

Area of trapezium = $\frac{1}{2}$ h(a+b)

= 1/2 20 x 24 ¹²

= 20 x 12

Area of trapezium = 240 cm²

In an isosceles trapezium

1) height = base
2) parallel side = non parallel side
3) parallel sides are equal
4) non parallel sides are equal

Answer: 4

SOLUTION 1 :

Ans = non parallel sides are equal

In an isosceles trapezium, non-parallel sides are equal.

10)

The height of a trapezium whose sum of parallel sides is 20 cm and the area 120 cm² is

1) 11
2) 13
3) 14
4) 12

Answer: 4

SOLUTION 1 :

Given,

Area = 120 cm² a + b = 20

Area of trapezium = $\frac{1}{2}$ h (a+b)

= $\frac{1}{2}$ x h x 20 = 120 cm²

120 cm² = 1 / 2 x h x 20 ¹⁰

h = $\frac{120}{10}$ = 12 cm.

The height of trapezium = 12 cm.