Post on 13-Dec-2015
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?
AreaApplication #1 Painting
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
AreaApplication #1 Painting
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
AreaApplication #1 Painting
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
AreaApplication #2 Carpeting
Step 1: Determine the nursery’s shape.
9 feet
8 feet10 feet
15 feet
Parallelogram
Trapezoid
AreaApplication #2 Carpeting
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
AreaApplication #2 Carpeting
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