What is the area of the rectangle shown below?
(6x - 5) ft
(3x + 10) ft
a. (18x^2 - 45x - 50) sq.ft
b. (18x^2 + 50) sq. ft
c. (18x^2 + 45x - 50) sq.ft
d. (18x^2 - 50) sq.ft
To find the area of a rectangle, we multiply the length by the width. In this case, the length is (6x - 5) ft and the width is (3x + 10) ft. So the area is:
(6x - 5)(3x + 10)
To simplify this expression, we can use the distributive property:
(6x - 5)(3x + 10) = 6x(3x + 10) - 5(3x + 10) = 18x^2 + 60x - 15x - 50
Combining like terms, we get:
18x^2 + 45x - 50
So the correct answer is c. (18x^2 + 45x - 50) sq.ft.