Finding Area
A scale drawing of a rectangular swimming pool is 4 inches wide and 6 inches long. The actual pool is 180 feet long. What is the area of the actual pool, in square feet?
24
120
720
21,600
What is 21,600 square feet?
The smaller rectangle is the original, and the larger rectangle is the scale copy.
The smaller rectangle has a width of 5 cm and a length of 8 cm.
The larger rectangle has a width of 15 cm and a length of 24 cm.
What is the scale factor used to make the scale copy?
What is 3?
A scale drawing of the floor of a rectangular-shaped classroom is 2.5 inches wide and 3 inches long. The drawing has a scale of 1 inch to 15 feet.
What is the area, in square feet, of the actual classroom? Show your work.
What is 1,687.5 square feet?
The drawing of a water tower has a scale of 1 inch to 40 feet. The tower in the drawing is 1.5 inches tall and 0.5 inches wide.
What is the actual height, in feet, of the water tower?
What is 60 feet?
Question 8.
The rectangular floor of a gymnasium is 50 feet in length and 30 feet in width.
A scale drawing of the gym floor has a length of 10 inches.
What is the area, in square inches, of the gym floor on the scale drawing?
What is 60 square inches?
9) A map has a scale of 1 centimeter = 40 miles. The actual distance between Chicago and Detroit is 240 miles. What is the distance, in centimeters, between the two cities on the map?
What is 6 cm?
Question 10
Maria is designing a rectangular poster for her school’s art show. She first sketches her design on a piece of paper as described below. She uses the entire piece of paper for her design.
The paper has a length of 10 inches and a width of 7 inches.
The scale factor is 1 inch = 2 feet.
What is the actual area, in square feet, of the poster that Maria will create?
What is 280 square feet?
Question 7. In a scale drawing of a park, 1 cm represents 3 1/2 meters. If the length of walking trail is 5 1/4 cm on the scale drawing, what is the actual length of the trail in meters?
What is 18 3/8 meters long?
Question 11. A scale drawing of the floor of a rectangular-shaped kitchen has a length of 2.5 inches and a width of 1.5 inches.
The drawing has a scale of 1 inch = 12 feet.
What is the area, in square feet, of the actual kitchen?
What is 48 square feet?