A plot of land has an area 33.75 square feet. Jackson wants to put a 4-foot by 4 foot shed on the land. He can only do this if the height of the trapezoid is at least 4.5 feet. What is the length of the f the trapezoid
Accepted Solution
A:
Answer:The height of the trapezoid is [tex]4.5\ ft[/tex]Step-by-step explanation:we know thatThe area of a trapezoid is equal to[tex]A=\frac{1}{2}(b1+b2)h[/tex]In this problem we have[tex]A=33.75\ ft^{2}[/tex][tex]b1=5\ ft[/tex][tex]b2=10\ ft[/tex]substitute in the formula and solve for h[tex]33.75=\frac{1}{2}(5+10)h[/tex][tex]67.5=15h[/tex][tex]h=67.5/15=4.5\ ft[/tex]