A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $22 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

g790432

The cost to replace the glass of the window is $

Question

Giovanna Middleton

Mathematics

28 October, 07:08

A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $22 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

g790432

The cost to replace the glass of the window is $

+3

Answers (1)

Know the Answer?

Louis Yang · Answer 1

Step-by-step explanation:

Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 (the two half circle on the sides).

Solve for area 1:

Area rec = L * W = 5units * 4 units = 20 squared units

Solve for area 2:

Area cir = pi * r² = 3.14 * (2 units) ² = 12.56 squared units

Total area = 20 + 12.56 = 32.56 foot²

Total cost = 32.56 foot² * ($23/foot²) = $ 748.88

Total cost is $748.88.

A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $22 per square foot. How much will it cost to replace the glass? Use 3.14 for π.g790432The cost to replace the glass of the window is $

A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot. The glass costs $22 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

g790432

The cost to replace the glass of the window is $