Problema Solution

A picture framemhas a total perimeter of 3 feet. The width of the frame is 0.65 times its length. Find the dimensions of the frame. (Round your answers to two decimal places.)

Answer provided by our tutors

let


l = the length of the frame

w = the width of the frame


P = 3 ft the perimeter and P = 2(l + w) thus


2(l + w) = 3 divide both sides by 2


l + w = 3/2


the width of the frame is 0.65 times its length


w = 0.65l


by solving the system of equations


l + w = 3/2

w = 0.65l


we find


l = 0.91 ft


w = 0.59 ft


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the length is 0.91 ft.

the width is 0.59 ft.