Question 5 Cheryl wants to dilate a photograph that has a width of 17.5 inches and a length of 24.5 inches to fit into a frame that is 7 inches in length. What will be the width of the new photograph?
#5 - answer 5 inches You can set up a proportion. Or, you can divide 24.5 by 7, which equals 3.5. Then, divide 17.5 by 3.5.
Question 6 Stacey decides to dilate the area of her rectangular garden. The length of her original garden is 10 feet and the area is 45 square feet. The length of the new garden will be 15 feet. What is the area of the new garden?
#6 - answer 101.25 ft² A = 45 ft² 10 ft 15 ft A = 101.25 ft² 4.5 ft6.75 ft Scale Factor = 1.5 Area Scale Factor = 2.25
Question 7 Find the value of x if triangle ABC ~ triangle JPH A B C J P H 12 15 66 x
Question 21 Triangle ABC ~ to triangle WXY. Use the diagram to find the perimeter of triangle ABC. A BC W X Y 5 m 3 m 4 m 21 m
#21 - answer The area of the large triangle is 84 m. *3 7 = 21 Therefore, the scale factor is 7. 4 7 = 28 and 5 7 = 35. Add the sides of the large triangle to get the perimeter. 28 + 35 + 21 = 84 m.
Question 24 Brooke is 5 ft tall. She and her class are walking through a wooded area looking for a tree that is 50 ft. tall. If the length of Brooke’s shadow is 2 ft, how will the students know when they have found a 50 ft tree?
#24 - answer When they find a tree’s shadow that measures 20 feet.
Question 25 A shrub is 1.5 meters tall and casts a shadow 3.5 meters long. At the same time, a radio tower casts a shadow 98 meters long. How tall is the radio tower?
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