Raymond B. answered 05/31/22
Math, microeconomics or criminal justice
18 inches by 24 inches is a rectangle with a diagonal length of 30 inches
30^2 = 900 = 18^2 + 24^2 = 324 + 576 = 900
The Rectangle Area = 18x24 = 432 in^2
Perimeter = 2(18+24) = 2(42) = 84 inches
or convert to feet
18 inches by 24 inches = 1.5 by 2 feet
the diagonal = 30 inches = 30/12 2.5 feet
Area = 1.5(2) = 3 ft^2 = 432/12^2 = 3 ft^2
Perimeter = 84/12 = 7 feet
all angles are 90 degrees or pi/2 radians
opposite sides are parallel
adjoining sides are perpendicular
You could draw the rectangle by graphing it with vertices (0,0), (0,18), (24,18) and (24,0)
or with vertices (0,0) (0,24), (18,24) and (18,0)
A=LW, L=W+6 inches
A= (W+6)W = W^2 +6W in^2
P=2(L+W) = 2(W+6+W) = 2(2W+6) = 4W+ 12 inches
A=LW, L=W+1/2 feet
A=(W+1/2)(W) = W^2 +W/2 ft^2
P =2(L+W) = 2(2W+1/2) = 4W+1 ft