Problema Solution
how to solve this? the length and width of a rectangle are consecutive even integers. the area of the rectangle is 120 cm. find the length and the width
Answer provided by our tutors
the two consecutive even integers can be written as:
2x and 2x + 2, where x is integer, and x>0
we will assume that the width is w= 2x and the length is l=2x + 2
the area of the rectangle A = 120 cm^2
the area of the rectangle is A = l*w thus
l*w = 120
(2x + 2)*2x = 120
by solving we find
x = 5
click here to see the step by step solution of the equation
w = 2*5
w = 10 cm
l = 2*5 + 2
l = 12 cm
the length is 12 cm.
the width is 10 cm.