Problema Solution

The length of a rectangle is 3 inches more than twice its width. Its perimeter is 48 inches. Find the dimensions. |

Answer provided by our tutors

let


l = the length of the rectangle

w = the width of the rectangle

P = 48 in the perimeter of the rectangle


the length of a rectangle is 3 inches more than twice its width


l = 3 + 2w


the formula for the perimeter of the rectangle is P = 2(l + w)


2(l + w) = 48 divide both sides by 2


l + w = 24


by solving the system of equations


l = 3 + 2w

l + w = 24


we find


l = 17 in


w = 7 in


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the dimensions of the rectangle are: the length is 17 inches and the width is 7 inches.