Finding Unknown Dimensions of Shapes

This lesson focuses on finding unknown measures of rectangles and squares using area and perimeter formulas. It includes examples of calculating the height of a rectangle, the side length of a square, and solving real-world problems like determining the dimensions of a mountain lion's territory. The lesson emphasizes understanding and applying mathematical formulas to find missing dimensions.

What is the essential question of today's lesson?

• How to find the area of a circle?

• How to find an unknown measure of a rectangle given its area or perimeter?

• How to determine the circumference of a square?

• How to calculate the volume of a cube?

If a mural covers an area of 54 square feet and the base is 9 feet, what is the height?

• 5 feet

• 6 feet

• 7 feet

• 8 feet

What is the side length of a square with an area of 81 square feet?

• 7 feet

• 8 feet

• 9 feet

• 10 feet

How can you find the unknown side length of a square when given only the area?

• Multiply the area by 2

• Divide the area by 2

• Find the square root of the area

• Subtract the area from 100

Gary is building a pen with a perimeter of 24 meters and a width of 3 meters. What is the length?

• 9 meters

• 8 meters

• 7 meters

• 6 meters

What is the side length of a square with a perimeter of 24 feet?

• 7 feet

• 6 feet

• 5 feet

• 4 feet

If the area of a rectangle is 36 square feet and the height is 3 feet, what is the base?

• 12 feet

• 11 feet

• 10 feet

• 13 feet

A swimming pool has an area of 120 square meters and a width of 8 meters. What is the length in meters?

• 15 meters

• 12 meters

• 13 meters

• 14 meters

A male mountain lion's territory is 96 square miles and 8 miles wide. What is the length?

• 13 miles

• 11 miles

• 12 miles

• 10 miles