Question

find the perimeter and area of the figure.
image of a triangle with side 13 yd, height 12 yd, base segments 5 yd and 5 yd
the perimeter of the figure is \\(\square\\) yards.
the area of the figure is \\(\square\\) square yards.

Explanation:

Step1: Calculate the perimeter

The figure is a triangle. The sides are 13 yd, 13 yd (since it's an isosceles triangle with two equal slant sides), and the base is \(5 + 5 = 10\) yd.
Perimeter = \(13 + 13 + 10\)
\(= 26 + 10\)
\(= 36\) yards.

Step2: Calculate the area

The formula for the area of a triangle is \(\frac{1}{2} \times \text{base} \times \text{height}\). The base is \(5 + 5 = 10\) yd and the height is 12 yd.
Area = \(\frac{1}{2} \times 10 \times 12\)
\(= 5 \times 12\)
\(= 60\) square yards.

Answer:

The perimeter of the figure is \(\boldsymbol{36}\) yards.
The area of the figure is \(\boldsymbol{60}\) square yards.