Question

Item 19 The staircase has three parallelogram-shaped panels that are the same size. The horizontal distance between each panel is 4.25 inches. What is the area of one panel?

Answer 1

Answer:

$Area = 287\ in^2$

Step-by-step explanation:

Given

$Length = 20.5$

$Space = 4.25$

$Panels = 3$

See attachment

Required

The area of one panel

From the attachment, the total width is 50.5in.

i.e.

$Total\ Width = 50.5$

Given that there are 2 spaces between the 3 panels and each space has a length of 4.25 in.

The reduced width is:

$Reduced\ Width = 50.5 - 2 * 4.25$

$Reduced\ Width = 42$

At this point, we can calculate the width of one panel by dividing the reduced width by the number of panels (3).

$Width = \frac{42}{3}$

$Width = 14$

The area of one is:

$Area = Length * Width$

$Area = 20.5 * 14$

$Area = 287\ in^2$