Sasi Math (Revised for 1024)

Scroll:Measurements >> area >> saq (4373)

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.

Area of a rhombus is 129 cm². one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 63 cm². one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 84 cm². one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 150 cm². one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 112 cm². one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 75 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 58 cm². one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 136 cm². one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 107 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer:_______________

10)

Area of a rhombus is 71 cm². one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 129 cm². one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer: 258 cm

SOLUTION 1 :

Given :

Area = 129 cm²

diagonal(d1) = 14cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

129 = $\frac{1}{2}$ x 14 x d2

(2 x $\frac{129)}{14}$ = d2

$\frac{258}{14}$ = d2

18.4 cm = d2

The length of the other diagonal = 18.4cm

Area of a rhombus is 63 cm². one of its diagonal is 9 cm. Find the length of the other diagonal.

Answer: 126 cm

SOLUTION 1 :

Given :

Area = 63 cm²

diagonal(d1) = 9cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

63 = $\frac{1}{2}$ x 9 x d2

(2 x $\frac{63)}{9}$ = d2

$\frac{126}{9}$ = d2

14.0 cm = d2

The length of the other diagonal = 14.0cm

Area of a rhombus is 84 cm². one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer: 168 cm

SOLUTION 1 :

Given :

Area = 84 cm²

diagonal(d1) = 10cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

84 = $\frac{1}{2}$ x 10 x d2

(2 x $\frac{84)}{10}$ = d2

$\frac{168}{10}$ = d2

16.8 cm = d2

The length of the other diagonal = 16.8cm

Area of a rhombus is 150 cm². one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer: 300 cm

SOLUTION 1 :

Given :

Area = 150 cm²

diagonal(d1) = 15cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

150 = $\frac{1}{2}$ x 15 x d2

(2 x $\frac{150)}{15}$ = d2

$\frac{300}{15}$ = d2

20.0 cm = d2

The length of the other diagonal = 20.0cm

Area of a rhombus is 112 cm². one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 224 cm

SOLUTION 1 :

Given :

Area = 112 cm²

diagonal(d1) = 11cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

112 = $\frac{1}{2}$ x 11 x d2

(2 x $\frac{112)}{11}$ = d2

$\frac{224}{11}$ = d2

20.4 cm = d2

The length of the other diagonal = 20.4cm

Area of a rhombus is 75 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 150 cm

SOLUTION 1 :

Given :

Area = 75 cm²

diagonal(d1) = 5cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

75 = $\frac{1}{2}$ x 5 x d2

(2 x $\frac{75)}{5}$ = d2

$\frac{150}{5}$ = d2

30.0 cm = d2

The length of the other diagonal = 30.0cm

Area of a rhombus is 58 cm². one of its diagonal is 15 cm. Find the length of the other diagonal.

Answer: 116 cm

SOLUTION 1 :

Given :

Area = 58 cm²

diagonal(d1) = 15cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

58 = $\frac{1}{2}$ x 15 x d2

(2 x $\frac{58)}{15}$ = d2

$\frac{116}{15}$ = d2

7.7 cm = d2

The length of the other diagonal = 7.7cm

Area of a rhombus is 136 cm². one of its diagonal is 11 cm. Find the length of the other diagonal.

Answer: 272 cm

SOLUTION 1 :

Given :

Area = 136 cm²

diagonal(d1) = 11cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

136 = $\frac{1}{2}$ x 11 x d2

(2 x $\frac{136)}{11}$ = d2

$\frac{272}{11}$ = d2

24.7 cm = d2

The length of the other diagonal = 24.7cm

Area of a rhombus is 107 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 214 cm

SOLUTION 1 :

Given :

Area = 107 cm²

diagonal(d1) = 5cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

107 = $\frac{1}{2}$ x 5 x d2

(2 x $\frac{107)}{5}$ = d2

$\frac{214}{5}$ = d2

42.8 cm = d2

The length of the other diagonal = 42.8cm

10)

Area of a rhombus is 71 cm². one of its diagonal is 7 cm. Find the length of the other diagonal.

Answer: 142 cm

SOLUTION 1 :

Given :

Area = 71 cm²

diagonal(d1) = 7cm

Area of the rhombus = $\frac{1}{2}$ x d1 x d2 sq.uni

71 = $\frac{1}{2}$ x 7 x d2

(2 x $\frac{71)}{7}$ = d2

$\frac{142}{7}$ = d2

20.3 cm = d2

The length of the other diagonal = 20.3cm