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Find the perimeter and area of the triangle.

Use m for meters and m^2 for square meters.

Its perimeter is

and its area is

.

Solution

For perimeter, we just add the three side lengths:

$\begin{aligned} P\amp=13+17+27\\ \amp=57 \end{aligned}$

For area, we use the triangle area formula:

$\begin{aligned} A\amp=\frac{1}{2}bh\\ \amp=\frac{1}{2}(10)(17)\\ \amp=5(17)\\ \amp=85 \end{aligned}$

Since length and width were measured in meters, we find that the perimeter is $57$ meters and the area is $85$ square meters.