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 46 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 43 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 44 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 43 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 33 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 37 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 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 37 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 34 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:_______________

10)

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 4 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 4 m and 6 m. what is the length of this diagonal

Answer: 9.2m

SOLUTION 1 :

Given :

Area of the quadrilateral = 46 m²

h1 = 4 m

h2 = 6 m

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

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

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

(2 x $\frac{46)}{10}$ = d

9.2 m = d

The area of a quadrilateral is 43 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: 17.2m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 3 m

h2 = 2 m

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

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

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

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

17.2 m = d

The area of a quadrilateral is 44 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: 8.8m

SOLUTION 1 :

Given :

Area of the quadrilateral = 44 m²

h1 = 5 m

h2 = 5 m

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

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

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

(2 x $\frac{44)}{10}$ = d

8.8 m = d

The area of a quadrilateral is 43 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: 7.16666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 7 m

h2 = 5 m

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

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

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

(2 x $\frac{43)}{12}$ = d

7.16666666667 m = d

The area of a quadrilateral is 33 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: 4.4m

SOLUTION 1 :

Given :

Area of the quadrilateral = 33 m²

h1 = 7 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 (7+8)

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

(2 x $\frac{33)}{15}$ = d

4.4 m = d

The area of a quadrilateral is 37 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: 6.16666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 3 m

h2 = 9 m

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

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

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

(2 x $\frac{37)}{12}$ = d

6.16666666667 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 37 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: 4.93333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 8 m

h2 = 7 m

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

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

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

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

4.93333333333 m = d

The area of a quadrilateral is 34 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: 4.53333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 34 m²

h1 = 7 m

h2 = 8 m

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

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

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

(2 x $\frac{34)}{15}$ = d

4.53333333333 m = d

10)

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 4 m. what is the length of this diagonal

Answer: 13.3333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 2 m

h2 = 4 m

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

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

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

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

13.3333333333 m = d