At the end of this Interactive PowerPoint, you will understand some applications of using area....

At the end of this Interactive PowerPoint, you will understand some applications of using area. Left-click your mouse to advance to the next slide or use the navigation arrows (when applicable) at the bottom of the screen.

AreaApplication #1 Painting

Chris hung too many posters! When the posters were pealed off the wall, a lot of paint came off too. Chris wants to repaint that wall.

AreaAreaApplication #1 Painting

Paint costs $23.00 per gallon and covers 250 - 400 ft2. How much will it cost to repaint the wall? How many gallons

are needed?


Step 1: We need to find the area of the wall. Which formula must we use?

Rectangle A = lw

Rhombus A = ½d1d2

13 feet

8 feet

6 feet

3 feet


Rectangle A = lw

Great job! Continue!


Rhombus A = ½d1d2

Sorry! Go back and try again!


Step 2: Using A = lw, calculate the area of the wall without the door.

A = (13)(8) – (3)(6) = 86ft2

A = (13)(8) + (3)(6) = 122ft2

13 feet

8 feet

6 feet

3 feet


A = (13)(8) – (3)(6) = 86ft2



A = (13)(8) + (3)(6) = 122ft2



Step 3: The wall is 86ft2 and Chris wants 2 coats of paint. How many gallons are needed and what is the cost?

*Paint is $23.00 per gallon and covers 250 – 400 ft2.

1 can - $23.00

2 cans - $46.00


1 can - $23.00



2 cans - $46.00


Area

Now we can paint! Continue!

Application #1 Painting

AreaApplication #2 Carpeting

Amy wants to re-carpet the nursery.

9 feet

8 feet10 feet

15 feet


Step 1: Determine the nursery’s shape.

9 feet

8 feet10 feet

15 feet

Parallelogram

Trapezoid


Parallelogram



Trapezoid



Step 2: Using the trapezoid area formula, A = ½h(b1+b2), determine the floor’s area.9 feet

8 feet10 feet

15 feet

A = ½(10)(9+15) = 120ft2

A = ½(8)(9+15) = 96ft2


A = ½(10)(9+15) = 120ft2



A = ½(8)(9+15) = 96ft2



Step 3: Carpeting costs $2.07 / ft2. How much will it cost to carpet the nursery since it’s 96ft2?

$2.07 (96) = $198.72

96 ÷ $2.07 = $46.38


$2.07 (96) = $198.72



96 ÷ $2.07 = $46.38



Now we can carpet! Nice job!

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At the end of this Interactive PowerPoint, you will understand some applications of using area....

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