Problema Solution
The lenght of a rectangle is 4in. greater than the width. The perimeter of the rectangle is 24in. Find the dimensions of the rectangle.
Answer provided by our tutors
wdith = w
length = w+4 (because 4 greater than the width)
perimeter = 2l + 2w (sum of all the sides)
p = 24 (stated in the problem)
24 = 2(w+4) + 2w
24 = 2w + 8 + 2w
24 = 4w + 8
16 = 4w
w=4 ... now plug this back in to the equation for l to find the length
l = w+4
l = 4+4
l = 8
Therefore, the width is 4 inches and the length is 8 inches.