The width of a rectangle is two thirds its length the width of the rectangle is 10 inches what is the perimeter of the rectangle and what is the area of the rectangle
W = 10 in
10 = 2/3 length
(2/3)L = 10
L = 10 / (2/3
L = 10 * (3/2 - 30/2 = 15 in
P = 2L + 2W
A = LW
To find the perimeter of a rectangle, you need to know its width and length. The formula for calculating the perimeter is:
Perimeter = 2 * (Length + Width)
In this case, the width of the rectangle is given as 10 inches. Let's denote the length of the rectangle as "L". According to the information given, the width is two-thirds the length, so we can write the equation:
Width = (2/3) * Length
Now we can substitute the given width value into the equation:
10 = (2/3) * Length
To solve for Length, we can multiply both sides of the equation by (3/2) to isolate Length:
Length = (10) * (3/2)
Length = 15
Now that we have the length, we can find the perimeter using the formula mentioned earlier:
Perimeter = 2 * (Length + Width)
Perimeter = 2 * (15 + 10)
Perimeter = 2 * 25
Perimeter = 50 inches
Therefore, the perimeter of the rectangle is 50 inches.
To find the area of a rectangle, you multiply the length by the width. In this case, the width is given as 10 inches, and we have already determined the length to be 15 inches. So, we can calculate the area as follows:
Area = Length * Width
Area = 15 * 10
Area = 150 square inches
Therefore, the area of the rectangle is 150 square inches.