Area With Different Dimensions

If a rectangle has an area of 48 cm², what would be the area of   a similar rectangle if the dimensions are doubled?

• 96 cm²
• 192 cm²
• 216 cm²
• 2304 cm²

If a rectangle is drawn and another rectangle is drawn so that the sides are twice as big as the first rectangle, what happens to the area?

• doubles
• triples
• quadruples
• not enough information

Two rectangles are similar. If the dimensions of the smaller rectangle are 1/4 the size of the larger, the area of the smaller rectangle is ______ the area of the larger rectangle. (What number goes in the blank?)

• 1/4

• 1/8

• 1/16

• 1/2

A triangle is enlarged in size by multiplying each of its dimensions by 7/2. The perimeter of the new triangle is how much more than the original triangle?

• 12.25 the perimeter of the original triangle

• 3.5 the perimeter of the original triangle

• 7 the perimeter of the original triangle

• 14 the perimeter of the original triangle

If the ratio of the radii of two circles is 3:4, what is the ratio of their areas ?

• 3:4  
• 6:8
• 9:16
• 27:64

If the ratio of 2 round dinner plates is 2:5, what is the ratio of their areas?

• 2:5
• 1:5
• 4:10
• 4:25

The ratio of the surface areas of two similar solids is 25:49.  Find the ratio of their heights.

• 5/7
• 2.92/3.66
• 625/2401
• 125/343

Suppose the dimensions of a pentagon with an area of 12 are tripled Find the area of the new pentagon in square inches.

• 108
• 36
• 72
• 144

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

The area of a small circular dish is 8 square inches. If the radius of the dish were TRIPLED, what would be the area of the new, larger dish?

• 8 inches squared

• 16 inches squared

• 24 inches squared

• 72 inches squared