Given the length of the rectangle is 1/3 times the width. The perimeter is 24cm. What is the area of the rectangle?
Alright.
Let's start
So we know a rectangle has 2 long sides and 2 squishy short sides(width and length)
So we start with one "set" of width and length, which is
the perimiter divided by 2
24/2 = 12
now the length is 3* the width
so 3 lengths and 1 width in the set, with each "set" having 4 "units"
so 12/4 = 3
3*3 units = 9 for longside, and 3 for short side
3*9 = 27 units of area
2 L + 2W = 24 L = 1/3 W
2 (1/3 W) + 2W = 24
W = 9 cm Then L = 3 cm
Area = L * W = 27 cm2