A window is being replaced with tinted glass. The plan below shows the design of the window. Each unit length represents 1 foot.

Question

likoan [24]

3 years ago

5

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 $23 per square foot. How much will it cost to replace the glass? Use 3.14 for π.

Mathematics

2 answers:

Marysya12 [62] · Answer 1 · 2022-07-29T02:58:47+03:00

Marysya12 [62]3 years ago

7 0

Answer:

748.88

Step-by-step explanation:

Ilia_Sergeevich [38] · Answer 2 · 2022-07-29T01:22:59+03:00

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.