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?
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
To find the dimensions of the child's desk, we need to multiply the dimensions of the full-size desk by two-thirds.
Length of child's desk: 54 inches * 2/3 = 36 inches
Width of child's desk: 36 inches * 2/3 = 24 inches
Perimeter of child's desk = 2 * (Length + Width)
Perimeter = 2 * (36 inches + 24 inches)
Perimeter = 2 * 60 inches
Perimeter = 120 inches
Area of child's desk = Length * Width
Area = 36 inches * 24 inches
Area = 864 square inches
Therefore, the perimeter of the child's desk is 120 inches and the area is 864 square inches.
To find the dimensions of the child's desk, we need to scale down the dimensions of the full-size adult desk by two-thirds.
For the length of the child's desk top, we can calculate it by multiplying the length of the full-size desk by two-thirds:
Length of child's desk top = 54 inches * (2/3) = 36 inches.
Similarly, for the width of the child's desk top:
Width of child's desk top = 36 inches * (2/3) = 24 inches.
Now that we have the dimensions of the child's desk top, we can find its perimeter and area.
Perimeter of the desk top is the sum of all four sides. In this case, we have two sides of length 36 inches and two sides of length 24 inches.
Perimeter = 36 inches + 36 inches + 24 inches + 24 inches = 120 inches.
Therefore, the perimeter of the child's desk top is 120 inches.
To calculate the area, we simply multiply the length by the width:
Area = 36 inches * 24 inches = 864 square inches.
Therefore, the area of the child's desk top is 864 square inches.