Problema Solution
A rectangle has a perimeter of 18 inches. A new rectangle is formed by doubling the width W and tripling the length L . The new rectangle has a perimeter of 46 inches. Write and solve a system of linear equations to find the length and width of the original rectangle. Find the length and width of the new rectangle .
Answer provided by our tutors
let
w = the width of the original rectangle
l = the length of the original rectangle
2w = the width of the new rectangle
3l = the length of the new rectangle
a rectangle has a perimeter of 18 inches
2(l + w) = 18 divide both sides by 2
l + w = 9
the new rectangle has a perimeter of 46 inches
2(2w + 3l) = 46 divide both sides by 2
2w + 3l = 23
by solving the system of equations
l + w = 9
2w + 3l = 23
we find
w = 4 in
l = 5 in
click here to see the step by step solution of the system of equations
2w = 2*4= 8 in
3l =3*5 = 15 in
the length and the width of the original rectangle is 5 in and 4 in.
the length and the width of the new rectangle is 15 in and 8 in.