Question

A Norman window is rectangular on three sides with a semi-circular top. You decide to install a Norman window in your family room with the dimensions indicated in the diagram. What is its perimeter?

a.
15.71 feet
b.
14.23 feet
c.
18.45 feet
d.
14 feet

Answer 1

Option A. Perimeter = 15.71 feet

Explanation:

A Norman window is rectangular on three sides with semicircular top.

We have to find the perimeter of the window.

Perimeter of Norman window = perimeter of semicircular top + perimeter of rectangle at the bottom

Perimeter of semicircular top =
`(2\pi r)/(2)=\pi  r`

=
`(\pi)((3)/(2))=(3.14)(1.5)`

= 4.71 feet

Perimeter of the rectangular base = (Length) + 2(width)

= 3 + (2×4) = 3 + 8

= 11 feet

Total perimeter = 4.71 + 11 = 15.71 feet

Answer is Option A.15.71 feet will be the perimeter.

Answer 2

Given that the window is rectangular on three sides with semi-circular top and with the following dimensions: 4 as the length and 3 as the width. We can calculate the perimeter using the given values, and it gives us the perimeter of 15.71 feet.