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 40 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 38 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 10 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 8 m and 10 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 7 m and 3 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 2 m and 10 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 34 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 5 m. what is the length of this diagonal

___m

Answer:_______________

The area of a quadrilateral is 45 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:_______________

The area of a quadrilateral is 50 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 33 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 8 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 30 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 40 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: 5.3333333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 6 m

h2 = 9 m

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

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

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

(2 x $\frac{40)}{15}$ = d

5.3333333333333 m = d

The area of a quadrilateral is 38 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 10 m. what is the length of this diagonal

Answer: 6.3333333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 38 m²

h1 = 2 m

h2 = 10 m

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

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

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

(2 x $\frac{38)}{12}$ = d

6.3333333333333 m = d

The area of a quadrilateral is 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 10 m. what is the length of this diagonal

Answer: 5.4444444444444m

SOLUTION 1 :

Given :

Area of the quadrilateral = 49 m²

h1 = 8 m

h2 = 10 m

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

49 = $\frac{1}{2}$ x d x (8+10)

49 = $\frac{1}{2}$ x d x 18

(2 x $\frac{49)}{18}$ = d

5.4444444444444 m = d

The area of a quadrilateral is 30 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: 6m

SOLUTION 1 :

Given :

Area of the quadrilateral = 30 m²

h1 = 7 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 (7+3)

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

(2 x $\frac{30)}{10}$ = d

6 m = d

The area of a quadrilateral is 32 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 10 m. what is the length of this diagonal

Answer: 5.3333333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 32 m²

h1 = 2 m

h2 = 10 m

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

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

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

(2 x $\frac{32)}{12}$ = d

5.3333333333333 m = d

The area of a quadrilateral is 34 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 5 m. what is the length of this diagonal

Answer: 6.8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 34 m²

h1 = 5 m

h2 = 5 m

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

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

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

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

6.8 m = d

The area of a quadrilateral is 45 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: 18m

SOLUTION 1 :

Given :

Area of the quadrilateral = 45 m²

h1 = 3 m

h2 = 2 m

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

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

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

(2 x $\frac{45)}{5}$ = d

18 m = d

The area of a quadrilateral is 50 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: 14.285714285714m

SOLUTION 1 :

Given :

Area of the quadrilateral = 50 m²

h1 = 2 m

h2 = 5 m

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

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

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

(2 x $\frac{50)}{7}$ = d

14.285714285714 m = d

The area of a quadrilateral is 33 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 8 m. what is the length of this diagonal

Answer: 6.6m

SOLUTION 1 :

Given :

Area of the quadrilateral = 33 m²

h1 = 2 m

h2 = 8 m

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

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

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

(2 x $\frac{33)}{10}$ = d

6.6 m = d

10)

The area of a quadrilateral is 30 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: 5.4545454545455m

SOLUTION 1 :

Given :

Area of the quadrilateral = 30 m²

h1 = 5 m

h2 = 6 m

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

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

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

(2 x $\frac{30)}{11}$ = d

5.4545454545455 m = d