Question

PLS HELP I WILL REALY BE HAPPY IF YOU HELPED 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 $13 per square foot. How much will it cost to replace the glass? Use 3.14 for π

Answer 1

Solution :

Step 1 :

Separate the composite figure into simpler shapes as shown by the dashed lines : a rectangle, two semicircles with equal area (one is one the left side of the rectangle and other one is on the right side).

Step 2 :

Find the area the rectangle.

Length (l) = 5 ft

Width (w) = 4 ft

Use the formula.

A = lw

A = 5 · 4

A = 20 square ft

The area of the rectangle is 24 square feet.

Step 3 :

Find the combined area of two semi-circles.

Radius = 2 ft

Use the formula.

A = 2 x (1/2)πr2

A = πr2

A = (3.14)(2)2

A = (3.14)(4)

A = 12.56 square ft

The combined area of two semi circles is about 12.56 square ft.

Step 4 :

Find the area of the composite figure.

A = 20 + 12.56 = 32.56 square ft

Step 5 :

Calculate the cost of tinted glass for the window.

Total cost = Area · Cost per feet

Total cost = 32.56 · $28

Total cost = $911.68

So, the cost of tinted glass for the window is $911.68.


(I'm not sure about the answer ) and mark me as brainy !