Answer:
A) width = 8 in , length =24 in
B) area = 192 in^2
Explanation:
Question is :
the perimeter of the rectangle is 64 in
length = 3 * width
A) find the length and the width
B) find the area of the rectangle
Question A) find the length and the width
the perimeter of a rectangle
formula:
2* (length + width)
we can give variable :
length = l and width = w
l = 3w
place this into the formula:
2* (3w + w) = 64
2 * (4w) = 64
8w = 64
w = 64/8
w = 8 in
place the value of w into the formula
l = 3w
l = 3*(8)
l = 24 in
therefore the width is 8 in and the length is 24 in
Question B) Find the area of the rectangle
area of a rectangle
formula:
length * width
place the values of length (l) and width (w) into the formula:
8 * 24
=192 in^2
therefore the area of the rectangle is 192 in^2