A rectangular garden has length twice as great as its width. A second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. The second garden has area of 70 square meters. What is the width of the two gardens?
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1 answer:
Use the information to write the dimensions of each rectangle in terms of w, the width of the 1st one. 1st rectangle; l = 2w w = 2 2nd rectangle: w = w l = 2w + 4 If the area of the 2nd rectangle is 70 square meters, you will use the area formula to write an equation that you will solve using the factoring. A = lw 70 = w(2w + 4) 70 = 2w^2 + 4w 0 = 2w^2 + 4w -70 0 = 2 (w^2 +2w - 35) 0 = 2 (w + 7) (w - 5) To get zero, the width would need to be -7 or 5. Because it is a distance, it has to be 5 meters. The width of both rectangles is 5 meters.
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