Similar Figures and Area

The perimeters of two similar polygons are in the ratio 6:7. If the area of the larger triangle is 343, what is the area of the smaller triangle?

• 467

• 216

• 252

• 66.7

The perimeters of two similar triangles is in the ratio 3: 2. The area of the smaller triangle is 20 cm². Find the area of the larger triangle.

• 45 cm²

• 36 cm²

• 30 cm²

• 90 cm²

The ratio of the sides of two ∆s is 4:7.  The area of the small triangle is 80 cm². What is the area of the larger triangle?

• 245 cm²

• 140 cm²

• 288 cm²

• 183 cm²

The ratio of areas of two similar triangles is 25:81. If the perimeter of the smaller triangle is 7.5 feet, what is the perimeter of the larger triangle?

• 13.5 feet

• 270 feet

• 24.3 feet

• 18.4 feet

The length of a rectangle is 6 meters more than the width.  The area is 72 square meters.  Find the length and width.

• Length = 6, Width = 12

• Length = 18, Width = 4

• Length = 12, Width = 6

• Length = 4, Width = 6

A rectangle has an area of 4x² +19x + 12 and a length of (x + 4). What is the width?

• 4x - 3

• 4x + 3

• 2x + 6

• 2x + 3

The following image is a triangle. Find the PERIMETER and AREA of the polygon.

The figures are similar. What is the ratio of their areas?

• 324/576

• 3/4

• 9/16

• 1/4

The figures are similar. Find the area of the larger rectangle.

• 108 ft²

• 54 ft²

• 6.75 ft²

• 100 ft²

The figures are similar. Find the area of the smaller rectangle.

• 20 in²

• 4 in²

• 10 in²

• 15 in²