Question

1. find the perimeter and area of this parallelogram. dimensions are in centimeters.

Explanation:

Step1: Calculate the perimeter of the parallelogram

In a parallelogram, opposite sides are equal. So the perimeter \( P \) is given by the formula \( P = 2\times(a + b) \), where \( a \) and \( b \) are the lengths of adjacent sides. Here, \( a = 10 \) cm and \( b = 12 \) cm.
\[
P = 2\times(10 + 12) = 2\times22 = 44
\]

Step2: Calculate the area of the parallelogram

The area \( A \) of a parallelogram is given by the formula \( A = base\times height \). Here, the base is \( 10 \) cm and the height is \( 14 \) cm.
\[
A = 10\times14 = 140
\]

Answer:

The perimeter of the parallelogram is \( 44 \) centimeters and the area is \( 140 \) square centimeters.