Problema Solution

A rectangle flower bed is 2 feet longer than twice the width, and has a perimeter of 40 feet. What are the dimensions of the flower bed?

Answer provided by our tutors

let


l = the length of the rectangle

w = the width of the rectangle

P = 40 ft the perimeter of the rectangle


rectangle flower bed is 2 feet longer than twice the width


l = 2 + 2w


perimeter of a rectangle is P = 2(l + w)


2(l + w) = 40 divide both sides by 2


l + w = 20


by solving the system of equations


l = 2 + 2w

l + w = 20


we find


l = 14 ft


w = 6 ft


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the dimensions of the flower bed are 14 ft and 6 ft.