In square ABCD shown to the right, the area of parallelogram AECF is 24. The per

Question

In square ABCD shown to the right, the area of parallelogram AECF is 24. The perimeter of ABCD is (A) 12 (B) 24 (C) 32 (D) 48 (E.) 64 No Answer Selected A block is hanging on a spring. The length of the Spring is a linear function of the mass of the block. The table shown to the right lists the length of the spring resulting from suspending each of three blocks. What is the length of the spring in centimeters when an 11 gram block is suspended from it? (A) 31 (B) 36 (C) 39 (D) 41 (E) 45 No Answer Selected

Explanation / Answer

19. For this problem you have to see that the area of a parallelogram is base x height. Given the area we know that the area of the parallelogram is 24 so we can estimate the height of the parallelogram to be 12 and then this gives us base x 12 = 24 an equation we can solve: 12b= 24 b=2 so we know that the base is equal 2 and thus the area is equal to 24. We also know that the perimeter of a square is all the length of the sides added together. Since the height of the parallelogram is 12 we know that each side of the square is 12 so 12+12+12+12= 48 31. Here you have to see that there is a pattern in the chart. 5 grams = 27 cm 6 grams = 29 cm 7 grams = 31 cm 8 grams = 33 cm 9 grams = 35 cm 10 grams = 37 cm 11 grams = 39 cm 12 grams = 41 cm 13 grams = 43 cm 14 grams = 45 cm 15 grams = 47 cm so based on this it should be 39 cm. Hope this helps you a little.

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