Areas of similar figures are proportional to the square of the sides
area of larger top = 54x36 = 1944
area of kid's desk/1944 = (2/3)^2 = 4/9
area of kid's desk = (4/9)(1944)
= 864 inches^2
perimeter of big top = 2(54+36) = 180
perimeter of kid's top = (2/3)(180) = 120 inches
or
dimensions of kids top
= (2/3)(54) by (2/3)(36
= 36 by 24
area of little top = 36(24) = 864
perimter of little top = 2(36+24) = 120
A child's desk is made so that the dimensions are two-thirds the dimensions of a full-size adult desk.
Suppose the top of the full-size desk measures 54 inches long by 36 inches wide.
What is the perimeter and area of the topof the child's desk?
1 answer
1 answer