Mathematics
Verlie83
18

what are the dimensions of a rectangle that has an area of 30 square meters and a perimeter of 34 meters

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(1) Answers
Varela285

L * W = 30 2L + 2W = 34 L = (30/W) 2(30/W) + 2W = 34 60/W + 2W = 34 Multiply by w to clear the denominator. Bring to one side since it will a quadratic. 60 + 2W^2 -34W = 0 2W*2 -34W + 60 = 0 Factor. 2(w^2 -17w + 30)= 0 2(w-15)(w-2)=0 w=15, w= 2 2(15) + 2(2)= 34 perimeter 15 * 2 = 30 area Dimensions are 15 x 2

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