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 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 4 m. what is the length of this diagonal ___m Answer:_______________ |
| 2) The area of a quadrilateral is 31 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:_______________ |
| 3) 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:_______________ |
| 4) The area of a quadrilateral is 36 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:_______________ |
| 5) The area of a quadrilateral is 34 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 10 m. what is the length of this diagonal ___m Answer:_______________ |
| 6) The area of a quadrilateral is 39 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:_______________ |
| 7) The area of a quadrilateral is 35 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:_______________ |
| 8) The area of a quadrilateral is 37 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:_______________ |
| 9) The area of a quadrilateral is 39 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:_______________ |
| 10) The area of a quadrilateral is 37 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 8 m. what is the length of this diagonal ___m Answer:_______________ |
| 1) The area of a quadrilateral is 49 sq. m . The perpendiculars from two opposite vertices to the diagonal are 5 m and 4 m. what is the length of this diagonal Answer: 10.8888888889m SOLUTION 1 : Given : Area of the quadrilateral = 49 m2 h1 = 5 m h2 = 4 m Area of the quadrilateral = x d x (h1+h2) sq units 49 = x d x (5+4) 49 = x d x 9 (2 x = d 10.8888888889 m = d |
| 2) The area of a quadrilateral is 31 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: 7.75m SOLUTION 1 : Given : Area of the quadrilateral = 31 m2 h1 = 3 m h2 = 5 m Area of the quadrilateral = x d x (h1+h2) sq units 31 = x d x (3+5) 31 = x d x 8 (2 x = d 7.75 m = d |
| 3) 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 = x d x (h1+h2) sq units 35 = x d x (5+3) 35 = x d x 8 (2 x = d 8.75 m = d |
| 4) The area of a quadrilateral is 36 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: 7.2m SOLUTION 1 : Given : Area of the quadrilateral = 36 m2 h1 = 3 m h2 = 7 m Area of the quadrilateral = x d x (h1+h2) sq units 36 = x d x (3+7) 36 = x d x 10 (2 x = d 7.2 m = d |
| 5) The area of a quadrilateral is 34 sq. m . The perpendiculars from two opposite vertices to the diagonal are 3 m and 10 m. what is the length of this diagonal Answer: 5.23076923077m SOLUTION 1 : Given : Area of the quadrilateral = 34 m2 h1 = 3 m h2 = 10 m Area of the quadrilateral = x d x (h1+h2) sq units 34 = x d x (3+10) 34 = x d x 13 (2 x = d 5.23076923077 m = d |
| 6) The area of a quadrilateral is 39 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: 7.8m SOLUTION 1 : Given : Area of the quadrilateral = 39 m2 h1 = 2 m h2 = 8 m Area of the quadrilateral = x d x (h1+h2) sq units 39 = x d x (2+8) 39 = x d x 10 (2 x = d 7.8 m = d |
| 7) The area of a quadrilateral is 35 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: 5m SOLUTION 1 : Given : Area of the quadrilateral = 35 m2 h1 = 7 m h2 = 7 m Area of the quadrilateral = x d x (h1+h2) sq units 35 = x d x (7+7) 35 = x d x 14 (2 x = d 5 m = d |
| 8) The area of a quadrilateral is 37 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: 12.3333333333m SOLUTION 1 : Given : Area of the quadrilateral = 37 m2 h1 = 2 m h2 = 4 m Area of the quadrilateral = x d x (h1+h2) sq units 37 = x d x (2+4) 37 = x d x 6 (2 x = d 12.3333333333 m = d |
| 9) The area of a quadrilateral is 39 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: 6.5m SOLUTION 1 : Given : Area of the quadrilateral = 39 m2 h1 = 2 m h2 = 10 m Area of the quadrilateral = x d x (h1+h2) sq units 39 = x d x (2+10) 39 = x d x 12 (2 x = d 6.5 m = d |
| 10) The area of a quadrilateral is 37 sq. m . The perpendiculars from two opposite vertices to the diagonal are 6 m and 8 m. what is the length of this diagonal Answer: 5.28571428571m SOLUTION 1 : Given : Area of the quadrilateral = 37 m2 h1 = 6 m h2 = 8 m Area of the quadrilateral = x d x (h1+h2) sq units 37 = x d x (6+8) 37 = x d x 14 (2 x = d 5.28571428571 m = d |