How to calculate the intersection of two polygons?

Geometry Help Questions Please.?

• 1) A state game warden has been observing deer during a particularly severe winter. She recorded that 14 of the 96 deer she observed throughout the state appeared to be suffering from malnutrition. The state has an estimated deer population of 600,000. Based on her observations, approximately how many deer would she predict are suffering from malnutrition? A. 14,000 B. 72,000 C. 88,000 D. 96,000 2) A scale model of a machine part is 1.4 inches long. The scale of the model is 0.5 inches : 1.5 feet. Calculate the length of the actual machine part. A. 1.4 feet B. 1.5 feet C. 2.9 feet D. 4.2 feet 3) A man who is 6 feet tall casts a shadow that is 10 feet long. How tall is a tree that casts a shadow 120 feet long? A. 72 feet B. 124 feet C. 150 feet D. 200 feet 4) The ratio of corresponding side lengths of two similar triangles is 2 : 3. What is the ratio of the area of the smaller triangle to that of the larger one? A. 8 : 27 B. 2 : 5 C. 4 : 9 D. 3 : 2 5) The ratio of the areas of two similar polygons is 49:16. If the perimeter of the first polygon is 22 cm, what is the perimeter of the second polygon? A. 7.18 cm B. 11.02 cm C. 13.25 cm D. 12.57 cm 6) The shadow cast by a one-foot ruler is 8 inches long. At the same time, the shadow cast by a pine tree is 24 feet long. What is the height, in feet, of the pine tree? A. 3 feet B. 6 feet C. 36 feet D. 2 feet 7) Two polygons are similar if: A. Corresponding sides are congruent and corresponding angles are proportional B. Corresponding angles are proportional and corresponding sides are proportional C. Corresponding angles are congruent and corresponding sides are congruent D. Corresponding angles are congruent and corresponding sides are proportional 8) The Smith’s have a mirror that is in the shape of a square. Each side measures 20 in. For Christmas, they are building a dollhouse for their daughter. It is exactly 18 times smaller than their actual house. In the dollhouse, what are the side lengths of the mirror (in inches)? Rounded to the nearest hundredth. A. 1.07 in B. 1 in C. 0.93 in D. 1.11 in 9) For your science class, you have to build a miniature model of the polar bear habitat at the zoo. After talking with the zookeepers, you learn that the habitat is 20 feet long, 15 feet wide and 25 feet high. You are going to design your model so that its linear dimensions are 20 times smaller than the actual habitat. What is the height of your model (in inches)? [12 inches in 1 foot] A. 12 in B. 9 in C. 25 in D. 15 in 10) In two similar parallelograms, the sides of the first parallelogram to the sides of the second parallelogram are in the ratio of 3:2. What is the ratio of their perimeters? A. 3:2 B. 9:4 C. 27:8 D. none of the above 11) In two similar parallelograms, the sides of the first parallelogram to the sides of the second parallelogram are in the ratio of 3:2. What is the ratio of their areas? A. 3:2 B. 9:4 C. 27:8 D. none of the above 12) The ratio of the areas of two similar polygons is 9:4. If the perimeter of the first polygon is 17 cm, what is the perimeter of the second polygon? Round to the nearest tenth. A. 13 cm B. 10.5 cm C. 11.3 cm D. 15.4 cm 13) A regular polygon has side length 12 cm. The perimeter of the polygon is 60 cm and the area is 247.7 cm2. A second polygon has side lengths equal to 18 cm. Find the perimeter of the second polygon. A. 40 cm B. 65 cm C. 90 cm D. 49 cm 14) A regular polygon has side length 10.9 in. The perimeter of the polygon is 87.2 in cm and the area 392.4 in2. A second regular polygon has corresponding side lengths equal to 21.8 in. Find the area of the second polygon. Round to the nearest hundredth. A. 98.1 in2 B. 1569.6 in2 C. 784.8 in2 D. 196.2 in2

• Answer:

  14) A regular polygon has side length 10.9 in. The perimeter of the polygon is 87.2 in cm and the area 392.4 in2. A second regular polygon has corresponding side lengths equal to 21.8 in. Find the area of the second polygon. Round to the nearest hundredth. A. 98.1 in2 B. 1569.6 in2 C. 784.8 in2 D. 196.2 in2 side length is a linear dimension (first degree) area is a squared measure (second degree) if the side of a plane figure is doubled, its corresponding area will increase by a factor of 4 the area of the second regular polygon is: 1569.6 in^2 one problem at a time. @Σ