Question

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 $14 per square foot. How much will it cost to replace the glass? Use 3.14 for it.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

lenght unit = 1 ft

glass price = $14 peer square foot

total cost = ?

Step 02:

Circumference area

Ac = π * r ²

r = 2 ft

Ac = 3.14 * (2ft)² = 12.56 ft²

Parallelogram area

Ap = b * h

b = 5 ft

h = 4 ft

Ap = 5ft * 4ft = 20 ft²

Total Area :

At = Ac + Ap = 12.56 ft² + 20 ft² = 32.56 ft²

Step 03:

Total cost:

`tc=32.56ft^2\cdot\frac{14\text{ \$}}{1ft^2}\text{ = }455.84\text{ \$ }`

The answer is:

The total cost will be $455.84.