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 48 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 6 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 6 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 4 m and 9 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 8 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 6 m and 7 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 2 m and 7 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 33 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 9 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 4 m and 2 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 48 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:_______________

10)

The area of a quadrilateral is 34 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 48 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 6 m. what is the length of this diagonal

Answer: 8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 48 m²

h1 = 6 m

h2 = 6 m

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

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

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

(2 x $\frac{48)}{12}$ = d

8 m = d

The area of a quadrilateral is 37 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: 7.4m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 4 m

h2 = 6 m

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

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

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

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

7.4 m = d

The area of a quadrilateral is 44 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 9 m. what is the length of this diagonal

Answer: 6.76923076923m

SOLUTION 1 :

Given :

Area of the quadrilateral = 44 m²

h1 = 4 m

h2 = 9 m

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

44 = $\frac{1}{2}$ x d x (4+9)

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

(2 x $\frac{44)}{13}$ = d

6.76923076923 m = d

The area of a quadrilateral is 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 8 m. what is the length of this diagonal

Answer: 8.90909090909m

SOLUTION 1 :

Given :

Area of the quadrilateral = 49 m²

h1 = 3 m

h2 = 8 m

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

49 = $\frac{1}{2}$ x d x (3+8)

49 = $\frac{1}{2}$ x d x 11

(2 x $\frac{49)}{11}$ = d

8.90909090909 m = d

The area of a quadrilateral is 47 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: 7.23076923077m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 6 m

h2 = 7 m

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

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

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

(2 x $\frac{47)}{13}$ = d

7.23076923077 m = d

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 7 m. what is the length of this diagonal

Answer: 8.88888888889m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 2 m

h2 = 7 m

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

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

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

(2 x $\frac{40)}{9}$ = d

8.88888888889 m = d

The area of a quadrilateral is 33 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 9 m. what is the length of this diagonal

Answer: 6m

SOLUTION 1 :

Given :

Area of the quadrilateral = 33 m²

h1 = 2 m

h2 = 9 m

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

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

33 = $\frac{1}{2}$ x d x 11

(2 x $\frac{33)}{11}$ = d

6 m = d

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 2 m. what is the length of this diagonal

Answer: 13.6666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 41 m²

h1 = 4 m

h2 = 2 m

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

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

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

(2 x $\frac{41)}{6}$ = d

13.6666666667 m = d

The area of a quadrilateral is 48 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: 8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 48 m²

h1 = 7 m

h2 = 5 m

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

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

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

(2 x $\frac{48)}{12}$ = d

8 m = d

10)

The area of a quadrilateral is 34 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: 6.8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 34 m²

h1 = 4 m

h2 = 6 m

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

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

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

(2 x $\frac{34)}{10}$ = d

6.8 m = d