Sasi Math (Revised for 1024)

Scroll:Measurements >> area >> saq (4357)

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 quadrilateral is 43 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 3 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 7 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 42 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 7 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 32 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 8 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 50 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 9 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 30 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 3 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 5 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 37 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 10 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 46 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 2 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 4 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 43 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 3 m. what is the length of this diagonal

Answer: 10.75m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 5 m

h2 = 3 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

43 = $\frac{1}{2}$ x d x (5+3)

43 = $\frac{1}{2}$ x d x 8

(2 x $\frac{43)}{8}$ = d

10.75 m = d

The area of a quadrilateral is 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 7 m. what is the length of this diagonal

Answer: 6.2m

SOLUTION 1 :

Given :

Area of the quadrilateral = 31 m²

h1 = 3 m

h2 = 7 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

31 = $\frac{1}{2}$ x d x (3+7)

31 = $\frac{1}{2}$ x d x 10

(2 x $\frac{31)}{10}$ = d

6.2 m = d

The area of a quadrilateral is 42 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 7 m. what is the length of this diagonal

Answer: 6.46153846154m

SOLUTION 1 :

Given :

Area of the quadrilateral = 42 m²

h1 = 6 m

h2 = 7 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

42 = $\frac{1}{2}$ x d x (6+7)

42 = $\frac{1}{2}$ x d x 13

(2 x $\frac{42)}{13}$ = d

6.46153846154 m = d

The area of a quadrilateral is 32 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 8 m. what is the length of this diagonal

Answer: 4.26666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 32 m²

h1 = 7 m

h2 = 8 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

32 = $\frac{1}{2}$ x d x (7+8)

32 = $\frac{1}{2}$ x d x 15

(2 x $\frac{32)}{15}$ = d

4.26666666667 m = d

The area of a quadrilateral is 50 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 9 m. what is the length of this diagonal

Answer: 8.33333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 50 m²

h1 = 3 m

h2 = 9 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

50 = $\frac{1}{2}$ x d x (3+9)

50 = $\frac{1}{2}$ x d x 12

(2 x $\frac{50)}{12}$ = d

8.33333333333 m = d

The area of a quadrilateral is 30 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 3 m. what is the length of this diagonal

Answer: 7.5m

SOLUTION 1 :

Given :

Area of the quadrilateral = 30 m²

h1 = 5 m

h2 = 3 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

30 = $\frac{1}{2}$ x d x (5+3)

30 = $\frac{1}{2}$ x d x 8

(2 x $\frac{30)}{8}$ = d

7.5 m = d

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 5 m. what is the length of this diagonal

Answer: 6.83333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 41 m²

h1 = 7 m

h2 = 5 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

41 = $\frac{1}{2}$ x d x (7+5)

41 = $\frac{1}{2}$ x d x 12

(2 x $\frac{41)}{12}$ = d

6.83333333333 m = d

The area of a quadrilateral is 37 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 10 m. what is the length of this diagonal

Answer: 5.28571428571m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 4 m

h2 = 10 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

37 = $\frac{1}{2}$ x d x (4+10)

37 = $\frac{1}{2}$ x d x 14

(2 x $\frac{37)}{14}$ = d

5.28571428571 m = d

The area of a quadrilateral is 46 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 2 m. what is the length of this diagonal

Answer: 18.4m

SOLUTION 1 :

Given :

Area of the quadrilateral = 46 m²

h1 = 3 m

h2 = 2 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

46 = $\frac{1}{2}$ x d x (3+2)

46 = $\frac{1}{2}$ x d x 5

(2 x $\frac{46)}{5}$ = d

18.4 m = d

10)

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 4 m. what is the length of this diagonal

Answer: 11.1428571429m

SOLUTION 1 :

Given :

Area of the quadrilateral = 39 m²

h1 = 3 m

h2 = 4 m

Area of the quadrilateral = $\frac{1}{2}$ x d x (h1+h2) sq units

39 = $\frac{1}{2}$ x d x (3+4)

39 = $\frac{1}{2}$ x d x 7

(2 x $\frac{39)}{7}$ = d

11.1428571429 m = d