Marcie wants to enclose her yard with a fence. Her yard is in the shape of a triangle attached to a rectangle.
The area of this figure can be found by the formula:
\[ A = (wh) + 0.5(bh) \]
If Marcie wants the total area to be larger than a specified value, she can use the formula:
\[ A > (wh) + 0.5(bh) \]
Rewrite this formula to solve for \( b \). Show all steps in your work.
Answer (2)
A>wh+bh/2 multiply both sides by 2 2A>2wh+bh subtract 2wh from boths sides 2A-2wh>bh divide both sides by h (2A-2wh)/h>b
To solve for b in the area inequality (wh) + 0.5(bh)"> A > ( w h ) + 0.5 ( bh ) , we multiply both sides by 2, subtract 2 w h , and then divide by h. The resulting inequality is \frac{(2A - 2wh)}{h}"> b > h ( 2 A − 2 w h ) . This shows how to express the base b in terms of the area and dimensions of the rectangle.
;
