Sasi Math (Revised for 1024)

Scroll:Measurements >> Trapezium >> saq (4465)

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.

The area of a trapezium is 80 cm² and height is 8 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 100 cm² and height is 10 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 91 cm² and height is 14 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 96 cm² and height is 8 cm. If one of its parallel sides 7 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 78 cm² and height is 12 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 55 cm² and height is 10 cm. If one of its parallel sides 5 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 54 cm² and height is 12 cm. If one of its parallel sides 9 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 56 cm² and height is 14 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 69 cm² and height is 6 cm. If one of its parallel sides 10 cm. Find the lenth of the other side.

Answer:_______________

10)

The area of a trapezium is 98 cm² and height is 14 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer:_______________

The area of a trapezium is 80 cm² and height is 8 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer: 14

SOLUTION 1 :

Given,

Area of trapezium = 80 cm² , h = 8 cm , a = 6 cm , b = .

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

80 = 1/ 2 x 8 ⁴ x (6 + b)

80 = 4(6 + b)

$\frac{80}{4}$ = 6 + b ( dividing by 4, both sides )

20 = 6 + b

20 - 6 = b ( on transposing + 6 becomes - 6 )

14 = b

Hence, length of the other side is 14 cm.

The area of a trapezium is 100 cm² and height is 10 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer: 14

SOLUTION 1 :

Given,

Area of trapezium = 100 cm² , h = 10 cm , a = 6 cm , b = .

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

100 = 1/ 2 x 10 ⁵ x (6 + b)

100 = 5(6 + b)

$\frac{100}{5}$ = 6 + b ( dividing by 5, both sides )

20 = 6 + b

20 - 6 = b ( on transposing + 6 becomes - 6 )

14 = b

Hence, length of the other side is 14 cm.

The area of a trapezium is 91 cm² and height is 14 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer: 5

SOLUTION 1 :

Given,

Area of trapezium = 91 cm² , h = 14 cm , a = 8 cm , b = .

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

91 = 1/ 2 x 14 ⁷ x (8 + b)

91 = 7(8 + b)

$\frac{91}{7}$ = 8 + b ( dividing by 7, both sides )

13 = 8 + b

13 - 8 = b ( on transposing + 8 becomes - 8 )

5 = b

Hence, length of the other side is 5 cm.

The area of a trapezium is 96 cm² and height is 8 cm. If one of its parallel sides 7 cm. Find the lenth of the other side.

Answer: 17

SOLUTION 1 :

Given,

Area of trapezium = 96 cm² , h = 8 cm , a = 7 cm , b = .

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

96 = 1/ 2 x 8 ⁴ x (7 + b)

96 = 4(7 + b)

$\frac{96}{4}$ = 7 + b ( dividing by 4, both sides )

24 = 7 + b

24 - 7 = b ( on transposing + 7 becomes - 7 )

17 = b

Hence, length of the other side is 17 cm.

The area of a trapezium is 78 cm² and height is 12 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer: 5

SOLUTION 1 :

Given,

Area of trapezium = 78 cm² , h = 12 cm , a = 8 cm , b = .

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

78 = 1/ 2 x 12 ⁶ x (8 + b)

78 = 6(8 + b)

$\frac{78}{6}$ = 8 + b ( dividing by 6, both sides )

13 = 8 + b

13 - 8 = b ( on transposing + 8 becomes - 8 )

5 = b

Hence, length of the other side is 5 cm.

The area of a trapezium is 55 cm² and height is 10 cm. If one of its parallel sides 5 cm. Find the lenth of the other side.

Answer: 6

SOLUTION 1 :

Given,

Area of trapezium = 55 cm² , h = 10 cm , a = 5 cm , b = .

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

55 = 1/ 2 x 10 ⁵ x (5 + b)

55 = 5(5 + b)

$\frac{55}{5}$ = 5 + b ( dividing by 5, both sides )

11 = 5 + b

11 - 5 = b ( on transposing + 5 becomes - 5 )

6 = b

Hence, length of the other side is 6 cm.

The area of a trapezium is 54 cm² and height is 12 cm. If one of its parallel sides 9 cm. Find the lenth of the other side.

Answer: 0

SOLUTION 1 :

Given,

Area of trapezium = 54 cm² , h = 12 cm , a = 9 cm , b = .

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

54 = 1/ 2 x 12 ⁶ x (9 + b)

54 = 6(9 + b)

$\frac{54}{6}$ = 9 + b ( dividing by 6, both sides )

9 = 9 + b

9 - 9 = b ( on transposing + 9 becomes - 9 )

0 = b

Hence, length of the other side is 0 cm.

The area of a trapezium is 56 cm² and height is 14 cm. If one of its parallel sides 6 cm. Find the lenth of the other side.

Answer: 2

SOLUTION 1 :

Given,

Area of trapezium = 56 cm² , h = 14 cm , a = 6 cm , b = .

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

56 = 1/ 2 x 14 ⁷ x (6 + b)

56 = 7(6 + b)

$\frac{56}{7}$ = 6 + b ( dividing by 7, both sides )

8 = 6 + b

8 - 6 = b ( on transposing + 6 becomes - 6 )

2 = b

Hence, length of the other side is 2 cm.

The area of a trapezium is 69 cm² and height is 6 cm. If one of its parallel sides 10 cm. Find the lenth of the other side.

Answer: 13

SOLUTION 1 :

Given,

Area of trapezium = 69 cm² , h = 6 cm , a = 10 cm , b = .

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

69 = 1/ 2 x 6 ³ x (10 + b)

69 = 3(10 + b)

$\frac{69}{3}$ = 10 + b ( dividing by 3, both sides )

23 = 10 + b

23 - 10 = b ( on transposing + 10 becomes - 10 )

13 = b

Hence, length of the other side is 13 cm.

10)

The area of a trapezium is 98 cm² and height is 14 cm. If one of its parallel sides 8 cm. Find the lenth of the other side.

Answer: 6

SOLUTION 1 :

Given,

Area of trapezium = 98 cm² , h = 14 cm , a = 8 cm , b = .

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

98 = 1/ 2 x 14 ⁷ x (8 + b)

98 = 7(8 + b)

$\frac{98}{7}$ = 8 + b ( dividing by 7, both sides )

14 = 8 + b

14 - 8 = b ( on transposing + 8 becomes - 8 )

6 = b

Hence, length of the other side is 6 cm.