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 37 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 45 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 4 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 8 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 4 m and 8 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 3 m and 6 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 4 m and 10 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 7 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 10 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 7 m and 4 m. what is the length of this diagonal

___m

Answer:_______________

10)

The area of a quadrilateral is 48 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 6 m and 6 m. what is the length of this diagonal

Answer: 6.16666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 37 m²

h1 = 6 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 (6+6)

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

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

6.16666666667 m = d

The area of a quadrilateral is 45 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 4 m. what is the length of this diagonal

Answer: 9m

SOLUTION 1 :

Given :

Area of the quadrilateral = 45 m²

h1 = 6 m

h2 = 4 m

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

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

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

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

9 m = d

The area of a quadrilateral is 47 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: 6.26666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 47 m²

h1 = 8 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 (8+7)

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

(2 x $\frac{47)}{15}$ = d

6.26666666667 m = d

The area of a quadrilateral is 40 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 8 m. what is the length of this diagonal

Answer: 6.66666666667m

SOLUTION 1 :

Given :

Area of the quadrilateral = 40 m²

h1 = 4 m

h2 = 8 m

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

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

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

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

6.66666666667 m = d

The area of a quadrilateral is 38 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 6 m. what is the length of this diagonal

Answer: 8.44444444444m

SOLUTION 1 :

Given :

Area of the quadrilateral = 38 m²

h1 = 3 m

h2 = 6 m

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

38 = $\frac{1}{2}$ x d x (3+6)

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

(2 x $\frac{38)}{9}$ = d

8.44444444444 m = d

The area of a quadrilateral is 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 4 m and 10 m. what is the length of this diagonal

Answer: 7m

SOLUTION 1 :

Given :

Area of the quadrilateral = 49 m²

h1 = 4 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 (4+10)

49 = $\frac{1}{2}$ x d x 14

(2 x $\frac{49)}{14}$ = d

7 m = d

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

Answer: 6.14285714286m

SOLUTION 1 :

Given :

Area of the quadrilateral = 43 m²

h1 = 7 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 (7+7)

43 = $\frac{1}{2}$ x d x 14

(2 x $\frac{43)}{14}$ = d

6.14285714286 m = d

The area of a quadrilateral is 31 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 10 m. what is the length of this diagonal

Answer: 4.13333333333m

SOLUTION 1 :

Given :

Area of the quadrilateral = 31 m²

h1 = 5 m

h2 = 10 m

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

31 = $\frac{1}{2}$ x d x (5+10)

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

(2 x $\frac{31)}{15}$ = d

4.13333333333 m = d

The area of a quadrilateral is 35 sq. m . The perpendiculars from two opposite vertices to the diagonal are 7 m and 4 m. what is the length of this diagonal

Answer: 6.36363636364m

SOLUTION 1 :

Given :

Area of the quadrilateral = 35 m²

h1 = 7 m

h2 = 4 m

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

35 = $\frac{1}{2}$ x d x (7+4)

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

(2 x $\frac{35)}{11}$ = d

6.36363636364 m = d

10)

The area of a quadrilateral is 48 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: 12m

SOLUTION 1 :

Given :

Area of the quadrilateral = 48 m²

h1 = 3 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 (3+5)

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

(2 x $\frac{48)}{8}$ = d

12 m = d