Asked by Scott
The side of a square equals the length of a rectangle. The width of the rectangle is 4 meters longer than its length. The sum of the areas of the square and the rectangle is 48 square centimeters. Find the side of the square
Answers
Answered by
Reiny
square --- x by x
rectangle -- x by x+4
x^2 + x(x+4) = 48
2x^2 + 4x - 48 = 0
x^2 + 2x - 24 = 0
(x+6)(x-4) = 0
x = -6 or x = 4, but a side cannot be negative
so the square is 4 by 4
rectangle -- x by x+4
x^2 + x(x+4) = 48
2x^2 + 4x - 48 = 0
x^2 + 2x - 24 = 0
(x+6)(x-4) = 0
x = -6 or x = 4, but a side cannot be negative
so the square is 4 by 4
Answered by
Anonymous
each unit square of the rectangle below represents 1 square inch name the rectangle that show perimeter and name the permeter
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