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.
1) The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 7 m. what is the length of this diagonal ___m Answer:_______________ |
2) The area of a quadrilateral is 30 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 9 m. what is the length of this diagonal ___m Answer:_______________ |
3) The area of a quadrilateral is 31 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:_______________ |
4) The area of a quadrilateral is 47 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:_______________ |
5) The area of a quadrilateral is 44 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:_______________ |
6) The area of a quadrilateral is 36 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:_______________ |
7) The area of a quadrilateral is 31 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:_______________ |
8) The area of a quadrilateral is 35 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:_______________ |
9) The area of a quadrilateral is 43 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:_______________ |
10) The area of a quadrilateral is 36 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 6 m. what is the length of this diagonal ___m Answer:_______________ |
1) The area of a quadrilateral is 39 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 7 m. what is the length of this diagonal Answer: 6m SOLUTION 1 : Given : Area of the quadrilateral = 39 m2 h1 = 6 m h2 = 7 m Area of the quadrilateral = x d x (h1+h2) sq units 39 = x d x (6+7) 39 = x d x 13 (2 x = d 6 m = d |
2) The area of a quadrilateral is 30 sq. m . The perpendiculars from two opposite vertices to the diagonal are 2 m and 9 m. what is the length of this diagonal Answer: 5.45454545455m SOLUTION 1 : Given : Area of the quadrilateral = 30 m2 h1 = 2 m h2 = 9 m Area of the quadrilateral = x d x (h1+h2) sq units 30 = x d x (2+9) 30 = x d x 11 (2 x = d 5.45454545455 m = d |
3) The area of a quadrilateral is 31 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: 4.13333333333m SOLUTION 1 : Given : Area of the quadrilateral = 31 m2 h1 = 6 m h2 = 9 m Area of the quadrilateral = x d x (h1+h2) sq units 31 = x d x (6+9) 31 = x d x 15 (2 x = d 4.13333333333 m = d |
4) The area of a quadrilateral is 47 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: 6.26666666667m SOLUTION 1 : Given : Area of the quadrilateral = 47 m2 h1 = 6 m h2 = 9 m Area of the quadrilateral = x d x (h1+h2) sq units 47 = x d x (6+9) 47 = x d x 15 (2 x = d 6.26666666667 m = d |
5) The area of a quadrilateral is 44 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: 11m SOLUTION 1 : Given : Area of the quadrilateral = 44 m2 h1 = 3 m h2 = 5 m Area of the quadrilateral = x d x (h1+h2) sq units 44 = x d x (3+5) 44 = x d x 8 (2 x = d 11 m = d |
6) The area of a quadrilateral is 36 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: 12m SOLUTION 1 : Given : Area of the quadrilateral = 36 m2 h1 = 4 m h2 = 2 m Area of the quadrilateral = x d x (h1+h2) sq units 36 = x d x (4+2) 36 = x d x 6 (2 x = d 12 m = d |
7) The area of a quadrilateral is 31 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: 5.16666666667m SOLUTION 1 : Given : Area of the quadrilateral = 31 m2 h1 = 7 m h2 = 5 m Area of the quadrilateral = x d x (h1+h2) sq units 31 = x d x (7+5) 31 = x d x 12 (2 x = d 5.16666666667 m = d |
8) The area of a quadrilateral is 35 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: 4.66666666667m SOLUTION 1 : Given : Area of the quadrilateral = 35 m2 h1 = 5 m h2 = 10 m Area of the quadrilateral = x d x (h1+h2) sq units 35 = x d x (5+10) 35 = x d x 15 (2 x = d 4.66666666667 m = d |
9) The area of a quadrilateral is 43 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: 7.16666666667m SOLUTION 1 : Given : Area of the quadrilateral = 43 m2 h1 = 6 m h2 = 6 m Area of the quadrilateral = x d x (h1+h2) sq units 43 = x d x (6+6) 43 = x d x 12 (2 x = d 7.16666666667 m = d |
10) The area of a quadrilateral is 36 sq. m . The perpendiculars from two opposite vertices to the diagonal are 8 m and 6 m. what is the length of this diagonal Answer: 5.14285714286m SOLUTION 1 : Given : Area of the quadrilateral = 36 m2 h1 = 8 m h2 = 6 m Area of the quadrilateral = x d x (h1+h2) sq units 36 = x d x (8+6) 36 = x d x 14 (2 x = d 5.14285714286 m = d |