Alocal school needs to paint the floor of its theater room, where the length of the floor, x, is at least 12 feet. the width of the floor is 4 feet less than the length. it will have a stage and a closet, and the remaining area of the floor will be painted. the dimensions are shown in the diagram:
rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 8 ft and width of 4 ft, the rest of the rectangle is labeled floor
let a represent the painted area, in square feet, of the floor. choose the correct equation to solve for area (a).
a.)a = x(x − 4) − 0.5(8)(x − 4) − 4(8)
b.)a = x(x − 4) − (8)(x − 4) − 4(8)
c.)a = x(x − 4) + (8)(x − 4) + 4(8)
d.)a = x(x − 4) + 0.5(8)(x − 4) + 4(8)