Question

1-129 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: 57+57 + 41+41 = 196in a = bh a = 57+36 = 93in
b) perimeter: 73+92 + 56=221cm a = \frac{1}{2}bh a=

Explanation:

Step1: Calculate perimeter of parallelogram

Perimeter of a parallelogram with adjacent - side lengths \(a = 57\) in and \(b = 41\) in is \(P=2(a + b)\).
\(P=2(57 + 41)=2\times98 = 196\) in

Step2: Calculate area of parallelogram

The area formula for a parallelogram is \(A = bh\), where the base \(b = 57\) in and the height \(h = 36\) in.
\(A=57\times36=2052\) in²

Step3: Calculate perimeter of triangle

For a right - triangle with side lengths \(a = 73\) cm, \(b = 56\) cm and \(c = 92\) cm, the perimeter \(P=a + b + c\).
\(P=73+56 + 92=221\) cm

Step4: Calculate area of triangle

The area formula for a right - triangle is \(A=\frac{1}{2}bh\), where the base \(b = 56\) cm and the height \(h = 73\) cm.
\(A=\frac{1}{2}\times56\times73=2044\) cm²

Answer:

a) Perimeter: 196 in, Area: 2052 in²
b) Perimeter: 221 cm, Area: 2044 cm²