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

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.

Answer 2

Answer:

Option A. Perimeter = 15.71 feet

Step-by-step 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 = $\frac{2\pi r}{2}=\pi r$

                                                 = $(\pi)(\frac{3}{2})=(3.14)(1.5)$

                                                 = 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.