Question

what is the perimeter of the figure shown if the slanted sides are 2.8 units long? the perimeter is \boxed{} units. (type an integer or a decimal.)

Explanation:

Step1: Identify the figure and its sides

The figure is a parallelogram. In a parallelogram, opposite sides are equal. From the grid, we can see that the horizontal sides (let's call them the base) span 6 units (by counting the grid squares, assuming each grid square has a side length of 1 unit). The slanted sides are given as 2.8 units each.

Step2: Recall the formula for the perimeter of a parallelogram

The perimeter \( P \) of a parallelogram is given by the formula \( P = 2 \times (a + b) \), where \( a \) is the length of one pair of opposite sides and \( b \) is the length of the other pair of opposite sides.

Step3: Substitute the values into the formula

Here, \( a = 6 \) (the horizontal side) and \( b = 2.8 \) (the slanted side). So,
\[
P = 2 \times (6 + 2.8)
\]
First, calculate the sum inside the parentheses: \( 6 + 2.8 = 8.8 \)
Then, multiply by 2: \( 2 \times 8.8 = 17.6 \)

Answer:

17.6