Shown below is the isosceles trapezoid ABCD.
Given in cm:
BC = 7
Height of the trapezoid (h) = 5
Perimeter of the trapezoid (P) = 34
Calculate the area of the trapezoid.
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Shown below is the isosceles trapezoid ABCD.
Given in cm:
BC = 7
Height of the trapezoid (h) = 5
Perimeter of the trapezoid (P) = 34
Calculate the area of the trapezoid.
Since ABCD is a trapezoid, one can determine that:
Thus the formula to find the area will be
Since we are given the perimeter of the trapezoid, we can find
Now we will place the data we obtained into the formula in order to calculate the area of the trapezoid:
50
Calculate the area of the trapezoid.
An isosceles trapezoid has equal non-parallel sides! In trapezoid ABCD, the parallel sides are AB and DC, so the equal sides are AD = BC = 7.
You can! But first you need to find the lengths of both parallel sides. Use the perimeter constraint to find AB + DC, then apply .
Since P = AD + AB + BC + DC and AD = BC = 7:
That's a common error! Remember there are two equal sides: AD = BC = 7. So you subtract both: 34 - 7 - 7 = 20, not just one side.
Yes! You only need the sum of parallel sides (AB + DC = 20) for the area formula. No need to find AB and DC separately!
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