TAILIEUCHUNG - Math Word Problem Demystified Phần 9

Tham khảo tài liệu 'math word problem demystified phần 9', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | LESSON 20 Word Problems in Geometry X 36 2x 2 36 72 Hence the measures of each of the angles are 36 72 and 72 . EVALUATION See if the sum of the angles is 180 . 36 72 72 180 EXAMPLE If the length of a rectangle is four times its width and the perimeter of the rectangle is 80 inches find the measures of its length and width. Geometric principle The perimeter of a rectangle is p 21 2w. SOLUTION GOAL You are being asked to find the length and width of a rectangle. STRATEGY Let X the width of the rectangle and 4x the length of the rectangle See Figure 20-2. 4x X X 4x Fig. 20-2. Since the formula for the perimeter of a rectangle is p 2ỉ 2w the equation is 2 4x 2x 80. LESSON 20 Word Problems in Geometry IMPLEMENTATION Solve the equation 2 4x 2x 80 8x 2x 80 10x 80 Tơ _ 80 X 8 4x 4 8 32 Hence the length is 32 inches and the width is 8 inches. EVALUATION Use the formula for perimeter and see if it is 80 inches. p 2 2w p 2 32 2 8 64 16 80 inches EXAMPLE The base of a triangle is 6 inches larger than its height. If the area of the triangle is 8 square inches find the base and height of the triangle. Geometric principle . The area of a triangle is A bh. SOLUTION GOAL You are being asked to find the measures of the base and the height. STRATEGY Let X the measure of the height and X 6 the measure of the base LESSON 20 Word Problems in Geometry Fig. 20-3. See Figure 20-3. since A hh the equation is18 x 6 x. IMPLEMENTATION Solve the equation 8 i x 6 x 2-8 2 x x 6 16 x x 6 16 X2 6x 16 16 X2 6x 16 0 X2 6x 16 0 x 8 x 2 X 8 0 x 8 8 0 8 X 8 X 2 0 . V - 2 2 0 2 In this case we ignore x 8 since a height cannot be a negative number. The base is x 6 2 6 8 inches. Hence the height is 2 inches and the base is 8 .

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