Find the area of the composite figure. Anything shaded dark represents a hole.
½ circle with 10 foot diameter
Radius is ½ diameter and therefore r = 5 ft
Area of ½ circle = ½ (3.14)(5ft)2
Area = 39.25 ft2
½ circle with 8 foot diameter
Radius is ½ diameter and therefore r = 4 ft
Area of ½ circle = ½ (3.14)(4ft)2
Area = 25.12 ft2
½ circle with 12 foot diameter
Radius is ½ diameter and therefore r = 6 ft
Area of ½ circle = ½ (3.14)(6ft)2
Area = 56.52 ft2
Area of rectangle = l*w
Area = 18 ft * (7ft+10ft+28ft)
Area = 18ft * 45ft
Area = 810 ft2
TOTAL AREA: 930.89 ft2 /
Triangle
Area = ½ base * height
Area = ½ * 7mm * 5mm
Area = 17.5 mm2
Trapezoid
Area = ½ height(base 1 + base 2)
Area = ½ *2mm*(12mm+7mm)
Area = 1mm*(24mm)
Area = 24mm2
Trapezoid
Area = ½ height(base 1 + base 2)
Area = ½ *8mm*(12mm+7mm)
Area = 4mm*(19mm)
Area = 76mm2
TOTAL AREA: 117.5 mm2
There is more than one way to find the area of this figure. Here is one way
Trapezoid
Base 1: 32y
Base 2: 32y – 8y – 8y = 16 y
Height: ½ of 11 = 5.5y
Area = ½ height(base 1 + base 2)
Area = ½ *5.5mm*(32y +16y)
Area = 2.75y*(48y)
Area = 132y2
Trapezoid
Same dimensions as orange
Area = 132y2 / Continued
½ Circle
A = ½ (3.14)r2
A = ½(3.14)(6y)2
A= 56.52 yd2
2 eyes with 2y radius
Area = 2*(3.14)(r)2
Area = 2*(3.14)(2y)2
Area = 25.12y2
Nose with 3y radius
Area = 3.14*r2
Area = 3.14*(3y)2
Area = 28.26y2
TOTAL AREA: 373.9y2
The pumpkin has a 24 inch diameter
The eyes are 3.5 inches in height and the parallel sides are 1.5 and 5 inches long.
The nose is 4 inches high and 4 inches across the bottom
The upper lip is 18 inches by 1 inch
Each tooth has a base of 4.5 inches and a height of 3 inches / What is the area of the pumpkin left after you cut out the face.
The area before the face is cut out is the area of the circle
Area = 3.14(r)2
If the diameter is 24 inches, the radius is 12 inches (24 divided by 2)
Area = 3.14(12)2
Area = 452.16 in2
Trapezoid Eyes
Area = 1/2*h(base 1 + base 2)
Area = ½*3.5(1.5 + 5)
Area = 11.375 in2
Triangle Nose
Area = ½*b*h
Area = ½(4)(4)
Area = 8 in2
Rectangle Lip
Area = l*w
Area = 18 in2
Triangle teeth (times 4)
A = ½(4.5)(3)
A = 6.75 in2 then multiply by 4 for the 4 teeth
A = 27 in2
Total Area = original area subtract the holes
Total Area = 387.785 in2