Problema Solution

The perimeter of a rectangle is 200 yards. What are the dimensions of the rectangle if the length is 30 yards more than the width?

Answer provided by our tutors

let


w = width of the rectangle

l = length of the rectangle


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


P = 200 yards


2(l + w) = 200 divide both sides by 2


l + w = 100


the length is 30 yards more than the width


l = w + 30


by solving the system of equations


l + w = 100

l = w + 30


we find


l = 65 yards


w = 35 yards


the dimensions of the rectangle are 35 and 65 yards.