Question

perimeter & area of rectangles
three rectangles are shown.
9 cm
9 cm
8 cm
8 cm
11 cm
6 cm
what is the perimeter of the rectangle that has an area of 66 square centimeters?
the perimeter is \square centimeters.

Explanation:

Step1: Identify the rectangle with area 66

First, calculate the area of each rectangle.

• First rectangle (square, since 9x9): Area = $9 \times 9 = 81$ cm².
• Second rectangle (square, 8x8): Area = $8 \times 8 = 64$ cm².
• Third rectangle: Area = $11 \times 6 = 66$ cm². So the third rectangle is the one with area 66.

Step2: Calculate the perimeter of the third rectangle

The formula for the perimeter of a rectangle is $P = 2 \times (length + width)$. For the third rectangle, length = 11 cm, width = 6 cm.
So, $P = 2 \times (11 + 6) = 2 \times 17 = 34$ cm.

Answer:

34