Problema Solution

Find the length of a rectangle if the width is 7cm and the diagonal 14cm.

Answer provided by our tutors

let


l = the length of the rectangle, l>0

w = 7 cm the width of the rectangle

d = 14 cm the diagonal of the rectangle


using the Pythagorean Theorem we have


l^2 + w^2 = d^2


l^2 + 7^2 = 14^2


by solving we find


l = 12.12 cm


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the length of the rectangle is 12.12 cm.