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 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 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 7 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 5 m and 6 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 35 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 48 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 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 3 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 6 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 6 m and 9 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 2 m and 7 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 50 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 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 5 m. what is the length of this diagonal

Answer: 5.63636363636m

SOLUTION 1 :

Given :

Area of the quadrilateral = 31 m²

h1 = 6 m

h2 = 5 m

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

31 = $\frac{1}{2}$ x d x (6+5)

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

(2 x $\frac{31)}{11}$ = d

5.63636363636 m = d

The area of a quadrilateral is 37 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: 4.93333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 7 m

h2 = 8 m

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

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

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

(2 x $\frac{37)}{15}$ = d

4.93333333333 m = d

The area of a quadrilateral is 47 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 6 m. what is the length of this diagonal

Answer: 8.54545454545m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 5 m

h2 = 6 m

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

47 = $\frac{1}{2}$ x d x (5+6)

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

(2 x $\frac{47)}{11}$ = d

8.54545454545 m = d

The area of a quadrilateral is 35 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: 10m

SOLUTION 1 :

Given :

Area of the quadrilateral = 35 m²

h1 = 2 m

h2 = 5 m

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

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

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

(2 x $\frac{35)}{7}$ = d

10 m = d

The area of a quadrilateral is 48 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: 13.7142857143m

SOLUTION 1 :

Given :

Area of the quadrilateral = 48 m²

h1 = 3 m

h2 = 4 m

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

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

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

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

13.7142857143 m = d

The area of a quadrilateral is 41 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 3 m. what is the length of this diagonal

Answer: 8.2m

SOLUTION 1 :

Given :

Area of the quadrilateral = 41 m²

h1 = 7 m

h2 = 3 m

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

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

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

(2 x $\frac{41)}{10}$ = d

8.2 m = d

The area of a quadrilateral is 30 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 9 m. what is the length of this diagonal

Answer: 4m

SOLUTION 1 :

Given :

Area of the quadrilateral = 30 m²

h1 = 6 m

h2 = 9 m

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

30 = $\frac{1}{2}$ x d x (6+9)

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

(2 x $\frac{30)}{15}$ = d

4 m = d

The area of a quadrilateral is 46 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 9 m. what is the length of this diagonal

Answer: 6.13333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 46 m²

h1 = 6 m

h2 = 9 m

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

46 = $\frac{1}{2}$ x d x (6+9)

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

(2 x $\frac{46)}{15}$ = d

6.13333333333 m = d

The area of a quadrilateral is 47 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: 10.4444444444m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 2 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 (2+7)

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

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

10.4444444444 m = d

10)

The area of a quadrilateral is 50 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: 16.6666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 50 m²

h1 = 4 m

h2 = 2 m

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

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

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

(2 x $\frac{50)}{6}$ = d

16.6666666667 m = d