Problema Solution
The length of a rectangle is 3 inches more than its width. The area of the rectangle is equal to 2 inches more than 2 times the perimeter. Find the length and width of the rectangle
Answer provided by our tutors
Let
x = width, x>0
x + 3 = the width
A = the area
A = x(x + 3)
P = the perimeter
P = 2x + 2(x + 3)
The area is 2 inches more than 2 times the perimeter:
A = 2 + 2P
x(x + 3) = 2 + 2*(2x + 2(x + 3))
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click here to see the equation solved for x
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x = 7 in
7 + 3 = 10 in
The width is 7 inched while the length is 10 inches.