Question

A rectangle with base x and height y has a perimeter of 150 ft. Express the area A of the rectangle as a function of its base x.

a) A(x)=150/x
b) A(x)=150/2x
c) A(x)=150/4x
d) A(x)=150/8x

Answer 1

I’m so done with this lol xoxo uwu the answer is a btw so easy

Answer 2

To find the area A of the rectangle as a function of its base x, we can set up and solve an equation for the height of the rectangle in terms of x. The correct answer is option d).

Step-by-step explanation:

To find the area A of the rectangle as a function of its base x, we need to first express the perimeter of the rectangle in terms of x. The perimeter of a rectangle is given by 2(x+y), where x represents the base and y represents the height. We are given that the perimeter of the rectangle is 150 ft.

So we can set up the equation 2(x+y) = 150. Next, we can solve this equation for y to find the height in terms of x: y = 75 - x. Finally, we can substitute this expression for y into the area formula for a rectangle, which is A = xy, to obtain the area A as a function of x: A(x) = x(75 - x). Therefore, the correct answer is d) A(x) = 150/8x.