Question

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

Explanation:

Step1: Determine the length of the horizontal sides

Looking at the grid, the horizontal side of the parallelogram spans 5 units (by counting the grid squares). So each horizontal side is 5 units long.

Step2: Recall the formula for the perimeter of a parallelogram

The perimeter \( P \) of a parallelogram is given by \( P = 2\times (a + b) \), where \( a \) is the length of one pair of sides and \( b \) is the length of the other pair of sides. Here, \( a = 5 \) (horizontal sides) and \( b = 2.8 \) (slanted sides).

Step3: Calculate the perimeter

Substitute the values into the formula:
\( P = 2\times(5 + 2.8) \)
First, calculate the sum inside the parentheses: \( 5 + 2.8 = 7.8 \)
Then multiply by 2: \( 2\times7.8 = 15.6 \)

Answer:

15.6