Question

mr.soto is installing a new trapazoid shaped window. he plans to cover the window with the protective coating , if the height h of the window is 24 inches how many inches of protective coating will he need?

Answer 1

In the given figure, there is a trapezoid with parallel bases (h + 6), (2h - 3), and height h = 24 inches

∵ b1 = h + 6

∵ h = 24

∴ b1 = 24 + 6 = 30 inches

∵ b2 = 2h - 3

∵ h = 24

∴ h = 2(24) - 3 = 48 - 3 = 45 inches

Now let us substitute the values of b1, b2, and h in the rule of the area

`\because A=(1)/(2)(24)(30+45)`
`\therefore A=900in^2`

The area of the window is 900 square inches

Mr. Soto will need 900 square inches of the protective coating