Question

1-49 find the perimeter and area of each figure below. be sure to show all your work. review math notes 1.1.2 in canvas for help if you get stuck. be sure to include the correct units in your answer. a) perimeter: area: 8 in. 5 in. 4 in. 6 in. 15.5 in. b) perimeter: area: 6 mm 4 mm 8.5 mm 12 mm

Explanation:

Step1: Calculate perimeter of trapezoid

Add all side - lengths.
$P = 8+5 + 15.5+6=34.5$ in.

Step2: Calculate area of trapezoid

Use formula $A=\frac{(b_1 + b_2)h}{2}$, where $b_1 = 8$ in, $b_2=15.5$ in, $h = 4$ in.
$A=\frac{(8 + 15.5)\times4}{2}=\frac{23.5\times4}{2}=47$ in$^{2}$.

Step3: Calculate perimeter of triangle

Add all side - lengths.
$P=6 + 8.5+12 = 26.5$ mm.

Step4: Calculate area of triangle

Use formula $A=\frac{1}{2}bh$, where $b = 12$ mm, $h = 4$ mm.
$A=\frac{1}{2}\times12\times4=24$ mm$^{2}$.

Answer:

a) Perimeter: $34.5$ in, Area: $47$ in$^{2}$
b) Perimeter: $26.5$ mm, Area: $24$ mm$^{2}$