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The area of a trapezium is 1900.
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If one of its parallel sides is 50 and its height is 50, what is the length of the other parallel side?
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A trapezium is a quadrilateral with exactly one pair of parallel sides.
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And we will show the sides to be parallel using arrows.
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And the formula to find the area of a trapezium is one-half times the height times the bases added together β π one plus π two.
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So before we begin plugging into the formula, letβs go ahead and label our picture.
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We begin with knowing that the area is equal to 1900 and one of its parallel sides is 50.
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So we could have picked either one.
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And then, we also know that the height is 50, which weβve labelled here.
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So letβs begin plugging into the formula so that way we can find the length of the other parallel side.
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So we need to plug in 1900 for the area, 50 for the height, and 50 for one of the bases.
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We will plug 50 in for π one.
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So this means we are solving for π two β the other base, which is the other parallel side that weβre trying to find the length of.
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So this would be considered base one.
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So in order to solve for π two, letβs go ahead and multiply one-half times 50, which is equal to 25.
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Now, we need to divide both sides of this equation by 25.
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The 25s cancel on the right and we get 76 on the left.
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So now to solve for π two, we need to subtract 50 from both sides of the equation.
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So we get that π two is equal to 26.
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Therefore, the length of the other parallel side is equal to 26.