The perimeter of a rectangle is 72m. The width of the rectangle is 16m. What is the area of the rectangle
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
Perimeter = 72m
Width = 16 m
Determine the area of the rectangle
Formula for the area of the rectangle:
A = lw
Formula for the perimeter of the rectangle:
P = 2 ( l + w)
Solution:
Solve first for the length of the triangle.
72 m = 2 ( l + 16m)
72 m = 2l + 32 m
Transpose 32 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
2l = 72m - 32m
2l = 40
Divide both sides by 2 in order to determine the value of l.
2l/2 = 40m/2
l = 20m
Substitute the values of l and w to formula for the area of the rectangle.
A = (20m)(32m)
A = 640 m^2
Final answer:
A = 640 m^2