Scale Drawings and Area

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

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 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?

• A

• B

• C

• D

This diagram is a scale drawing of a store.

To the nearest 50 square feet, what is the area of the actual store?

Scale: 1 inch = 16 feet

• 2350 square feet

• 2400 square feet

• 2450 square feet

• 2500 square feet

The scale drawing for Zoe's room is shown. If 1 in on the scale drawing equals 3 feet. What is the area for Zoe's room?

• 49  square feet

• 132 square feet

• 126 square feet

• 14 square feet

Using this scale, what is the area, in square feet, of the playground?

• 19,200 square feet

• 17,600 square feet

• 15,200 square feet

• 12,000 square feet

• 30 cm²

• 22 cm

• 12000 m²

• 440 m

What is the area in square feet of the actual piece of land?

• 36 square feet

• 54 square feet

• 5,184 square feet

• 7,776 square feet