Scale Drawings and Area

The scale on a map is 1 cm : 15 miles. Find the area scale.

• 1 cm² : 225 mi²

• 1 cm² : 15 mi²

• 15 cm² : 1 mi²

• 225 cm² : 1 mi²

The scale use to sketch the blueprints for a house's living room renovations is 1 cm : 3 ft. If the area of the living room is 432 ft², which proportion would you use to find the area of the living room on the blueprints?

On a map, the area of a nature reserve is 54.2 square inches. The scale of the map is 1 inch : 8 miles. Find the actual area of the nature reserve.

• 3,468.8 mi²

• 433.6 mi²

• 1.18 mi²

• 6.775 mi²

On a map, 1 inch represents an actual distance of 2.5 miles. The Actual area of the lake is 12 square miles. Find the area of teh lake on the map.

• 1.92 in²

• 4.8 in²

• 30 in²

• 0.21 in²

The area of this rectangle is 90 km². If a scaled copy of this rectangle is made using a scale factor of 3, then what is the area of the copy?

(Hint: you have to square the scale factor)

• 270 km²

• 810 km²

• 30 km²

• 156 km²

The area of this rectangle is 36 cm².If a scaled copy of this rectangle is made using a scale factor of 1/2, then what is the area of the copy?

(Hint: you have to square the scale factor)

• 18 cm²

• 9 cm²

• 4.5 cm²

• 2 cm²

If a rectangle has an area of 50 m² and a scaled copy is made with a scale factor of 2, what is the area of the scaled copy?

(Hint: Remember to square the scale factor)

• 100 m²

• 200 m²

• 25 m²

• 400 m²

The area of a square is 64 sq ft. If a scaled copy of this square is made using a scale factor of 1/4, what is the area of the copy?

(Hint: you have to square the scale factor)

• 16 sq ft

• 4 sq ft

• 8 sq ft

• 32 sq ft

On a map, 1 inch represents an actual distance of 3 miles. If the actual area of a park is 27 square miles, what is the area of the park on the map?

• 3 in²

• 9 in²

• 0.33 in²

• 1 in²

Find the actual area of the scaled rectangle.

• 9.66 sq. ft

• 347.76 sq. ft
• 57.96 sq. ft

• 761.76 sq. ft