length of a rectangle is 5cm greater that ints with. perimeter is 58cm. find the dimensions
first, represent unknowns with variables:
let x = width
let x+5 = length (according to first statement)
then set-up the equation. recall that the perimeter of a rectangle is given by
P = 2L + 2W
therefore,
58 = 2(x + 5) + 2x
58 = 2x + 10 + 2x
58 = 4x + 10
48 = 4x
x = 12 cm (width)
x+5 = 17 cm (length)
hope this helps~ :)