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) parallel side = non parallel side
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 190 cm² is

1) 11.5
2) 9.5
3) 10.5
4) 8.5

( )

The sum of parallel sides of a trapezium is 22cm and height is 10cm. Then its area is...

1) 115
2) 105
3) 110
4) 112

( )

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) A
2) C
3) D
4) B

( )

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 140 cm² is

1) 28
2) 27
3) 29
4) 30

( )

The sum of parallel sides of a trapezium is 16cm and height is 25cm. Then its area is...

1) 200
2) 202
3) 205
4) 195

( )

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) A
2) B
3) C
4) D

( )

In an isosceles trapezium

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

( )

10)

The height of a trapezium whose sum of parallel sides is 20 cm and the area 130 cm² is

1) 15
2) 12
3) 13
4) 14

( )

In an isosceles trapezium

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

Answer: 2

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 190 cm² is

1) 11.5
2) 10.5
3) 9.5
4) 8.5

Answer: 3

SOLUTION 1 :

Given,

Area = 190 cm² a + b = 40

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

= $\frac{1}{2}$ x h x 40 = 190 cm²

190 cm² = 1 / 2 x h x 40 ²⁰

h = $\frac{190}{20}$ = 9.5 cm.

The height of trapezium = 9.5 cm.

The sum of parallel sides of a trapezium is 22cm and height is 10cm. Then its area is...

1) 105
2) 112
3) 115
4) 110

Answer: 4

SOLUTION 1 :

Given,

a + b = 22 cm, h = 10 cm.

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

= 1/2 10 x 22 ¹¹

= 10 x 11

Area of trapezium = 110 cm²

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) A
2) C
3) B
4) D

Answer: 3

SOLUTION 1 :

Ans = B

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

In an isosceles trapezium

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

Answer: 3

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 140 cm² is

1) 27
2) 28
3) 29
4) 30

Answer: 2

SOLUTION 1 :

Given,

Area = 140 cm² a + b = 10

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

= $\frac{1}{2}$ x h x 10 = 140 cm²

140 cm² = 1 / 2 x h x 10 ⁵

h = $\frac{140}{5}$ = 28 cm.

The height of trapezium = 28 cm.

The sum of parallel sides of a trapezium is 16cm and height is 25cm. Then its area is...

1) 200
2) 195
3) 205
4) 202

Answer: 1

SOLUTION 1 :

Given,

a + b = 16 cm, h = 25 cm.

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

= 1/2 25 x 16 ⁸

= 25 x 8

Area of trapezium = 200 cm²

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) A
2) C
3) B
4) D

Answer: 3

SOLUTION 1 :

Ans = B

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

In an isosceles trapezium

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

Answer: 3

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 130 cm² is

1) 14
2) 12
3) 13
4) 15

Answer: 3

SOLUTION 1 :

Given,

Area = 130 cm² a + b = 20

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

= $\frac{1}{2}$ x h x 20 = 130 cm²

130 cm² = 1 / 2 x h x 20 ¹⁰

h = $\frac{130}{10}$ = 13 cm.

The height of trapezium = 13 cm.