Question

If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than half the length of the house, what is the expression for the area of the garden? *

Answer 1

A(h) = h²/2 - 6*h + 10

Explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2 and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h) = ( h - 2 )* ( h/2 -5 )

A(h) = h²/2 - 5*h - h + 10

A(h) = h²/2 - 6*h + 10