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 35 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 3 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 7 m and 10 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 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 8 m and 5 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:_______________

The area of a quadrilateral is 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 8 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 8 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 7 m and 5 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 8 m and 4 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 43 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 7 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 5 m and 3 m. what is the length of this diagonal

Answer: 8.75m

SOLUTION 1 :

Given :

Area of the quadrilateral = 35 m²

h1 = 5 m

h2 = 3 m

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

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

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

(2 x $\frac{35)}{8}$ = d

8.75 m = d

The area of a quadrilateral is 45 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 10 m. what is the length of this diagonal

Answer: 5.29411764706m

SOLUTION 1 :

Given :

Area of the quadrilateral = 45 m²

h1 = 7 m

h2 = 10 m

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

45 = $\frac{1}{2}$ x d x (7+10)

45 = $\frac{1}{2}$ x d x 17

(2 x $\frac{45)}{17}$ = d

5.29411764706 m = d

The area of a quadrilateral is 47 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 7 m. what is the length of this diagonal

Answer: 7.83333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 5 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 (5+7)

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

(2 x $\frac{47)}{12}$ = d

7.83333333333 m = d

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 5 m. what is the length of this diagonal

Answer: 6.15384615385m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 8 m

h2 = 5 m

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

40 = $\frac{1}{2}$ x d x (8+5)

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

(2 x $\frac{40)}{13}$ = d

6.15384615385 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

The area of a quadrilateral is 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 8 m. what is the length of this diagonal

Answer: 4.76923076923m

SOLUTION 1 :

Given :

Area of the quadrilateral = 31 m²

h1 = 5 m

h2 = 8 m

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

31 = $\frac{1}{2}$ x d x (5+8)

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

(2 x $\frac{31)}{13}$ = d

4.76923076923 m = d

The area of a quadrilateral is 43 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 4 m. what is the length of this diagonal

Answer: 7.16666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 8 m

h2 = 4 m

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

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

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

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

7.16666666667 m = d

The area of a quadrilateral is 40 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: 6.66666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 7 m

h2 = 5 m

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

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

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

(2 x $\frac{40)}{12}$ = d

6.66666666667 m = d

The area of a quadrilateral is 32 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 4 m. what is the length of this diagonal

Answer: 5.33333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 32 m²

h1 = 8 m

h2 = 4 m

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

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

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

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

5.33333333333 m = d

10)

The area of a quadrilateral is 43 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 7 m. what is the length of this diagonal

Answer: 8.6m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 3 m

h2 = 7 m

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

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

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

(2 x $\frac{43)}{10}$ = d

8.6 m = d