Jimmy is planning to paint the gate of his house. The gate has a glass panel. Painting the gate costs $2.50 per square foot. How much will he have to spend to paint the gate? PLEASE HELP!!

Answer: Third option.Step-by-step explanation: Calculate the area of the gate (including the glass panel) which has the shape of a trapezoid. The formula for calculate the area of a trapezoid is: [tex]A=\frac{h}{2}(B+b)[/tex] Where h is the height, B is the larger base and b is the smaller base. In this case: [tex]B=10ft\\b=7ft\\h=5ft[/tex] Substituting, you get: [tex]A_{gate}=\frac{5ft}{2}(10ft+7ft)=42.5ft^2[/tex] Calculate the area of the rectangular glass panel, with the formula: [tex]A_{panel}=l*w[/tex] Where the lenght is [tex]l=1.43ft[/tex] and the width is [tex]w=0.71ft[/tex] Then: [tex]A_{panel}=(1.43ft)(0.71ft)=1.01ft^2[/tex] The area he needs to paint is: [tex]A=A_{gate}-A_{panel}\\A=42.5ft^2-1.01ft^2\\A=41.49ft^2[/tex] If painting the gate costs $2.50 per ft², for 41.49 ft² he will have to spend: [tex]=(41.49)(\$2.50)\\=\$103.725[/tex] Therefore the answer is the third option.