Question

you enjoy playing board games with your best friend. your favorite board game has a game board that is a rectangle. the length of the board game is 35.1 centimeters and the width is 17.6 centimeters. what is the area of the board game? what is the perimeter of the board game? use the given information to complete the worksheet.
length of the board game
width of the board game
imeter of the board game
area of the board game

diagram label	value	units
am	17.6	centimeters
	105.4	centimeters
		square centimeters

area formulas:

• parallelogram: ( a = bh )
• square: ( a = s^2 )
• triangle: ( a = \frac{1}{2} bh )
• trapezoid: ( a = \frac{1}{2} h(b_1 + b_2) )

Explanation:

Area of the Board Game

Step1: Identify the formula

Since the board game is a rectangle (a type of parallelogram), we use the formula for the area of a parallelogram: \( A = bh \), where \( b \) is the length and \( h \) is the width. Here, \( b = 35.1 \) cm and \( h = 17.6 \) cm.

Step2: Calculate the area

Substitute the values into the formula: \( A = 35.1 \times 17.6 \)
\( 35.1\times17.6 = 617.76 \)

Step1: Identify the formula for the perimeter of a rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2(l + w) \), where \( l \) is the length and \( w \) is the width. Here, \( l = 35.1 \) cm and \( w = 17.6 \) cm.

Step2: Calculate the perimeter

First, find the sum of length and width: \( 35.1 + 17.6 = 52.7 \)
Then, multiply by 2: \( P = 2\times52.7 = 105.4 \) (which matches the given value in the table, confirming the calculation)

Answer:

The area of the board game is \( 617.76 \) square centimeters.

Perimeter of the Board Game