The base of the trapezoid is 4, the height is 11, and the area is 80. Find the second base of the trapezoid.
| August 17, 2021 | education
From the condition it is known that the base of the trapezoid is 4, the height is 11, and the area of the trapezoid is 80. In order to find the second base of the trapezoid, we will apply the formula to calculate the area of the trapezoid:
S = (a + b) / 2 * h;
The area of the trapezoid is equal to the product of half the sum of the bases by the height.
We substitute the known values into the formula and solve the resulting equation:
(a + 4) / 2 * 11 = 80;
(a + 4) = 80: 11 * 2;
a + 4 = 160/11;
a = 14 6/11 – 4;
a = 10 6/11 length of the second base of the trapezoid.
Answer: 10 6/11.
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