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 44 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 8 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 38 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 5 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 47 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 4 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 6 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 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 7 m and 9 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 3 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 5 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 4 m and 10 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 8 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 44 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 8 m. what is the length of this diagonal

Answer: 6.2857142857143m

SOLUTION 1 :

Given :

Area of the quadrilateral = 44 m²

h1 = 6 m

h2 = 8 m

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

44 = $\frac{1}{2}$ x d x (6+8)

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

(2 x $\frac{44)}{14}$ = d

6.2857142857143 m = d

The area of a quadrilateral is 38 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 5 m. what is the length of this diagonal

Answer: 10.857142857143m

SOLUTION 1 :

Given :

Area of the quadrilateral = 38 m²

h1 = 2 m

h2 = 5 m

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

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

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

(2 x $\frac{38)}{7}$ = d

10.857142857143 m = d

The area of a quadrilateral is 47 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 4 m. what is the length of this diagonal

Answer: 10.444444444444m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 5 m

h2 = 4 m

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

47 = $\frac{1}{2}$ x d x (5+4)

47 = $\frac{1}{2}$ x d x 9

(2 x $\frac{47)}{9}$ = d

10.444444444444 m = d

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 6 m. what is the length of this diagonal

Answer: 8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 4 m

h2 = 6 m

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

40 = $\frac{1}{2}$ x d x (4+6)

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

(2 x $\frac{40)}{10}$ = d

8 m = d

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 7 m. what is the length of this diagonal

Answer: 5.2m

SOLUTION 1 :

Given :

Area of the quadrilateral = 39 m²

h1 = 8 m

h2 = 7 m

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

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

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

(2 x $\frac{39)}{15}$ = d

5.2 m = d

The area of a quadrilateral is 42 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 9 m. what is the length of this diagonal

Answer: 5.25m

SOLUTION 1 :

Given :

Area of the quadrilateral = 42 m²

h1 = 7 m

h2 = 9 m

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

42 = $\frac{1}{2}$ x d x (7+9)

42 = $\frac{1}{2}$ x d x 16

(2 x $\frac{42)}{16}$ = d

5.25 m = d

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

Answer: 15.333333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 46 m²

h1 = 3 m

h2 = 3 m

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

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

46 = $\frac{1}{2}$ x d x 6

(2 x $\frac{46)}{6}$ = d

15.333333333333 m = d

The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 5 m. what is the length of this diagonal

Answer: 9.75m

SOLUTION 1 :

Given :

Area of the quadrilateral = 39 m²

h1 = 3 m

h2 = 5 m

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

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

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

(2 x $\frac{39)}{8}$ = d

9.75 m = d

The area of a quadrilateral is 42 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: 6m

SOLUTION 1 :

Given :

Area of the quadrilateral = 42 m²

h1 = 4 m

h2 = 10 m

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

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

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

(2 x $\frac{42)}{14}$ = d

6 m = d

10)

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 8 m. what is the length of this diagonal

Answer: 6.8333333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 41 m²

h1 = 4 m

h2 = 8 m

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

41 = $\frac{1}{2}$ x d x (4+8)

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

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

6.8333333333333 m = d