Question

Can someone help me with this geometry question?The first box has three options: 20,30,40, the second box has 24,48,18

Answer 1

Explanation:

First, find the area of the lampshade.

The lampshade is in the shape of a trapezoid; the area of a trapezoid is calculated using the formula:

`\begin{gathered} A=(1)/(2)(a+b)h \\ a,b\text{ are the parallel sides} \\ h\text{ is the perpendicular height} \end{gathered}`

Thus, the area of the lampshade is approximately:

`A=(1)/(2)(7+4)6=11*3=33\approx30\; in.^2`

Next, we find the area of the base.

The base is made up of two trapezoids and the area of one of the trapezoids is approximately:

`A=(1)/(2)(3+6)*(8)/(2)=(1)/(2)*9*4=18\; in\text{.}^2`

Thus, the total area is approximately:

`\text{Total Area}=30+2(18)=30+36\approx66\; in\text{.}^2`

Therefore:

Answer:

• The lampshade is a trapezoid. Its area is approximately ,30 square inches.

,

• The bases of the lamp are two trapezoids. The area of each is approximately ,18 square inches,.

,

• In total, the area is approximately ,66 square inches,.