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SSAT Middle Level
Quantitative (Math)

Perimeter of a Trapezoidal Plot

Hard Geometry And Measurement Perimeter And Area

A trapezoidal plot of land has bases measuring 10 meters and 14 meters and a height of 6 meters. To find how much fencing is required to enclose this trapezoid, you first need to calculate the lengths of the two non-parallel sides. The non-parallel sides each measure 8 meters. What is the total perimeter of this trapezoidal plot of land?

To find the perimeter, we can use the formula for the perimeter of a trapezoid:

$$P = a + b + c + d$$

where $$a$$ and $$b$$ are the lengths of the parallel sides, and $$c$$ and $$d$$ are the lengths of the non-parallel sides.

Hint

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