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The area of a trapezium is 480 cm2. The distance between two parallel sides is 15 m and one of the parallel side is 20 m. What is the length of other parallel side?
- a)42 m
- b)44 m
- c)48 m
- d)52 m
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The area of a trapezium is 480 cm2. The distance between two parallel ...
Area of a trapezium : (sum of parallel sides/2)*height
let other parallel sides be x
so we get,
480 = ({20+x}/2)*15
480/15 ={20+x}/2
(480*2) / 15=20+x
(960/15)-20=x
64-20=x
44=x
other parallel sides =44m
Most Upvoted Answer
The area of a trapezium is 480 cm2. The distance between two parallel ...
To find the length of the other parallel side of the trapezium, we can use the formula for the area of a trapezium:
Area = (1/2) * (a + b) * h
Where a and b are the lengths of the parallel sides, and h is the distance between them.
Given that the area is 480 cm^2, the distance between the parallel sides is 15 m, and one of the parallel sides is 20 m, we can substitute these values into the formula and solve for the length of the other parallel side.
Let's go step by step:
Step 1: Convert the given measurements to the same unit.
- The distance between the parallel sides is given in meters, so we need to convert it to centimeters to match the area measurement.
- 1 meter = 100 centimeters
- Therefore, the distance between the parallel sides is 15 m * 100 cm/m = 1500 cm.
Step 2: Substitute the given values into the formula.
- Area = 480 cm^2
- Distance between parallel sides (h) = 1500 cm
- One of the parallel sides (a) = 20 m * 100 cm/m = 2000 cm
Area = (1/2) * (a + b) * h
480 = (1/2) * (2000 + b) * 1500
Step 3: Simplify the equation.
480 = (1/2) * (2000 + b) * 1500
480 = (1/2) * 3500 * 1500 + (1/2) * b * 1500
480 = 5250000 + 750 * b
Step 4: Solve for b.
480 - 5250000 = 750 * b
-5249520 = 750 * b
b = -5249520 / 750
b ≈ -6999.36
Since the length of a side cannot be negative, we can disregard the negative value. Therefore, the length of the other parallel side is approximately 6999.36 cm or 69.99 m.
The length of the other parallel side is approximately 69.99 m, which is equivalent to option B.
Area = (1/2) * (a + b) * h
Where a and b are the lengths of the parallel sides, and h is the distance between them.
Given that the area is 480 cm^2, the distance between the parallel sides is 15 m, and one of the parallel sides is 20 m, we can substitute these values into the formula and solve for the length of the other parallel side.
Let's go step by step:
Step 1: Convert the given measurements to the same unit.
- The distance between the parallel sides is given in meters, so we need to convert it to centimeters to match the area measurement.
- 1 meter = 100 centimeters
- Therefore, the distance between the parallel sides is 15 m * 100 cm/m = 1500 cm.
Step 2: Substitute the given values into the formula.
- Area = 480 cm^2
- Distance between parallel sides (h) = 1500 cm
- One of the parallel sides (a) = 20 m * 100 cm/m = 2000 cm
Area = (1/2) * (a + b) * h
480 = (1/2) * (2000 + b) * 1500
Step 3: Simplify the equation.
480 = (1/2) * (2000 + b) * 1500
480 = (1/2) * 3500 * 1500 + (1/2) * b * 1500
480 = 5250000 + 750 * b
Step 4: Solve for b.
480 - 5250000 = 750 * b
-5249520 = 750 * b
b = -5249520 / 750
b ≈ -6999.36
Since the length of a side cannot be negative, we can disregard the negative value. Therefore, the length of the other parallel side is approximately 6999.36 cm or 69.99 m.
The length of the other parallel side is approximately 69.99 m, which is equivalent to option B.
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The area of a trapezium is 480 cm2. The distance between two parallel sides is 15 m and one of the parallel side is 20 m. What is the length of other parallel side?a)42 mb)44 mc)48 md)52 mCorrect answer is option 'B'. Can you explain this answer?
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