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 57 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 149 cm². one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 114 cm². one of its diagonal is 13 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 97 cm². one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 139 cm². one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 121 cm². one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 90 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 100 cm². one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 107 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer:_______________

10)

Area of a rhombus is 109 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer:_______________

Area of a rhombus is 57 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 114 cm

SOLUTION 1 :

Given :

Area = 57 cm²

diagonal(d1) = 3cm

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

57 = $\frac{1}{2}$ x 3 x d2

(2 x $\frac{57)}{3}$ = d2

$\frac{114}{3}$ = d2

38.0 cm = d2

The length of the other diagonal = 38.0cm

Area of a rhombus is 149 cm². one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 298 cm

SOLUTION 1 :

Given :

Area = 149 cm²

diagonal(d1) = 6cm

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

149 = $\frac{1}{2}$ x 6 x d2

(2 x $\frac{149)}{6}$ = d2

$\frac{298}{6}$ = d2

49.7 cm = d2

The length of the other diagonal = 49.7cm

Area of a rhombus is 114 cm². one of its diagonal is 13 cm. Find the length of the other diagonal.

Answer: 228 cm

SOLUTION 1 :

Given :

Area = 114 cm²

diagonal(d1) = 13cm

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

114 = $\frac{1}{2}$ x 13 x d2

(2 x $\frac{114)}{13}$ = d2

$\frac{228}{13}$ = d2

17.5 cm = d2

The length of the other diagonal = 17.5cm

Area of a rhombus is 97 cm². one of its diagonal is 14 cm. Find the length of the other diagonal.

Answer: 194 cm

SOLUTION 1 :

Given :

Area = 97 cm²

diagonal(d1) = 14cm

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

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

(2 x $\frac{97)}{14}$ = d2

$\frac{194}{14}$ = d2

13.9 cm = d2

The length of the other diagonal = 13.9cm

Area of a rhombus is 139 cm². one of its diagonal is 10 cm. Find the length of the other diagonal.

Answer: 278 cm

SOLUTION 1 :

Given :

Area = 139 cm²

diagonal(d1) = 10cm

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

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

(2 x $\frac{139)}{10}$ = d2

$\frac{278}{10}$ = d2

27.8 cm = d2

The length of the other diagonal = 27.8cm

Area of a rhombus is 121 cm². one of its diagonal is 4 cm. Find the length of the other diagonal.

Answer: 242 cm

SOLUTION 1 :

Given :

Area = 121 cm²

diagonal(d1) = 4cm

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

121 = $\frac{1}{2}$ x 4 x d2

(2 x $\frac{121)}{4}$ = d2

$\frac{242}{4}$ = d2

60.5 cm = d2

The length of the other diagonal = 60.5cm

Area of a rhombus is 90 cm². one of its diagonal is 5 cm. Find the length of the other diagonal.

Answer: 180 cm

SOLUTION 1 :

Given :

Area = 90 cm²

diagonal(d1) = 5cm

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

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

(2 x $\frac{90)}{5}$ = d2

$\frac{180}{5}$ = d2

36.0 cm = d2

The length of the other diagonal = 36.0cm

Area of a rhombus is 100 cm². one of its diagonal is 6 cm. Find the length of the other diagonal.

Answer: 200 cm

SOLUTION 1 :

Given :

Area = 100 cm²

diagonal(d1) = 6cm

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

100 = $\frac{1}{2}$ x 6 x d2

(2 x $\frac{100)}{6}$ = d2

$\frac{200}{6}$ = d2

33.3 cm = d2

The length of the other diagonal = 33.3cm

Area of a rhombus is 107 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 214 cm

SOLUTION 1 :

Given :

Area = 107 cm²

diagonal(d1) = 3cm

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

107 = $\frac{1}{2}$ x 3 x d2

(2 x $\frac{107)}{3}$ = d2

$\frac{214}{3}$ = d2

71.3 cm = d2

The length of the other diagonal = 71.3cm

10)

Area of a rhombus is 109 cm². one of its diagonal is 3 cm. Find the length of the other diagonal.

Answer: 218 cm

SOLUTION 1 :

Given :

Area = 109 cm²

diagonal(d1) = 3cm

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

109 = $\frac{1}{2}$ x 3 x d2

(2 x $\frac{109)}{3}$ = d2

$\frac{218}{3}$ = d2

72.7 cm = d2

The length of the other diagonal = 72.7cm