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How do you work out in detail the lengths of the parallels of a trapezoid when one base is 1.75 cm longer than the other and has a height of 16 cm with a square area of 174 cm?
Wiki User
∙ 13y ago
Let one parallel be x+1.75 and the other parallel be x:
1/2(sum of parallels)height = area
1/2(x+1.75+x)16 = 174 cm2
Multiply both sides by 2 and then divide both sides by 16:
x+1.75+x = 21.75
Collect like terms and subtract 1.75 from both sides:
2x = 20 => x = 10
Therefore the lengths of the parallels are 11.75 cm and 10 cm
Check: 1/2(11.75+10)16 = 174 cm2
Wiki User
∙ 13y ago
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How do you find the height a trapezoid?
It is the distance between the parallels
What is the area trapezoid with lengths of 71137?
Area of a trapezoid = 0.5*(sum of parallel sides)*height
What is the formula for finding trapezoid?
The formula for finding the area of a trapezoid is (a + b) * h / 2, where a and b are the lengths of the parallel sides, and h is the height of the trapezoid.
What is area of trapezoid?
The area of a trapezoid is equal to half the sum of the lengths of the two parallel sides (base1 and base2) multiplied by the height. The formula for the area of a trapezoid is A = (base1 + base2) * height / 2.
How do you get the height of the trapezoid if you only have the area?
Divide area by one half of the sum of the bases. You need to know base lengths to get height
How do you find the height a trapezoid?
It is the distance between the parallels
What is the area trapezoid with lengths of 71137?
Area of a trapezoid = 0.5*(sum of parallel sides)*height
How do you find the height of a trapezoid when area given?
If the lengths of the bases are also given then rearrange the area of the trapezoid formula so that the height is the subject.
How you could find the height of a trapezoid if you knew the length of the 2 bases and the area of the trapezoid?
Height of trapezoid = 2*area/sum of parallel sides
What is the formula for finding trapezoid?
The formula for finding the area of a trapezoid is (a + b) * h / 2, where a and b are the lengths of the parallel sides, and h is the height of the trapezoid.
What is the formula for a trapezoid?
The perimeter of a trapezoid is the sum of the lengths of each side. To find the area of a trapezoid: add base 1 and base 2 together then divide that answer by 2, then multiply it by the height of the trapezoid.
What is area of trapezoid?
The area of a trapezoid is equal to half the sum of the lengths of the two parallel sides (base1 and base2) multiplied by the height. The formula for the area of a trapezoid is A = (base1 + base2) * height / 2.
How do you get the height of the trapezoid if you only have the area?
Divide area by one half of the sum of the bases. You need to know base lengths to get height
What is the area of a trapezoid with base lengths 3 feet and 9 feet and a height of 4 feet?
The answer is 24.
How do you find height of a trapezoid?
A trapezoid is a polygon. Therefore, a trapezoid has no height
How do you figure out the area of a trapazoid?
-- Add the lengths of the two 'bases' (the two parallel sides). -- Multiply the sum by the height of the trapezoid. -- Take 1/2 of the product. That's the trapezoid's area.
What is the solution of A TRAPEZOID?
A trapezoid is a 4 sided quadrilateral which has one pair of parallel sides of different lengths. Its perimeter is the sum of its 4 sides. Its area is: 0.5*(sum of parallel sides)*height
