The figure shows a trapezium PQRS where RS = 17m and PS = 15m. If PT = 14m, and the area of trapezium is 196m2, Find the length PQ

Length of PQ = 11

Step-by-step explanation:

The image for the question is attached herewith

Solution

Given -

RS = 17 m

PS = 15 m

PT = 14 m

Area of the trapezoid = 196 square meter

Area of trapezoid = 0.5 * (sum of parallel sides) * height

Substituting the given values in above equation, we get -

196 = 0.5 * (17 + PQ) * 14

7 * PQ = 196 -17 *7 = 77

PQ = 77/7 = 11

the answer is 40.

proof:

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.