SIFT Math Practice Questions with correct answers

184 ft^2 - (x)(y) = area 42x = 2,100 x = 50 perimeter = 2x + 2y 2x42 + 2x50 =p 84 + 100 = p 184 ft^2 CORRECT ANSWER The Halls are moving to a new home and want to fence in a space for their dog, Molly. Previously, Molly had a fenced-in area of 2,100 square feet to play. One side of the new lawn is 42 feet long. If the Halls want the same space for Molly and use the 42 feet for one side of a rectangular space, how much fencing will they need to purchase? This question is asking you to apply your knowledge of right triangles to determine the length of the side and then calculate the shaded area of the lean-to (see figures below for a visualization of the problem). First, use the pythagorean theorem (x^2 + y^2 = z^2) to solve for the length of the missing side of the triangle, x: x^2 + (12)^2 = (20)^2 x^2 + 144 = 400 x^2 = 400 - 144 x^2 = 256 x = v256 x = 16 Use the formula for the area of a rectangle (