Respuesta :

1. You have to find the area of the rectangle and then add it to the area of the traingle. So you'd have 6×3 for the rectangle, added to ((15-3)÷2)×(6+6) for the triangle. So the overall area would be 18+72 which is 90.

2. Once again you just have to find the areas of the individual shapes and then add them together. So, 8×4 added to (4+4)×4 added to 12×12. So the area would be 32+32+144 which is 208.

3. First work out the triangles area: (12-8)×((16-10)/2) which equals 12. And then add it to the rectangles area: 16×8 which is 128. So the area is 140.

4. Find out the area of the circles: 3.14×1.5^2 which is 7.065. This is the area for a full circle and as there is 4 halves in the picture, multiply this number by 2, giving a total circle area of 14.13. Then simply add the square area which is 3×3. So the total area is 23.13.

It's the same for the last two. Seperate 5 into a triangle, long rectangle down the bottom and a squarish one up top. Work out the individual areas for these three shapes and then just add them.

For 6 just work out the semicircle, rectangle and triangle areas and add them once more.

Hope that helps! :)
iGreen
#3

Cut the figure into a rectangle and triangle. You are left with a rectangle with length 6 and width 3, and a triangle with base 15 - 3 = 12 and height 6 + 6 = 12.

A = lw

A = (6)(3)

A = 18 ft^2

So the area of the rectangle is 18 square feet.

A = 1/2bh

A = 1/2(12)(12)

A = 72 ft^2

So the area of the triangle is 72 square feet. Add the two areas together to find the total area of the figure:

18 + 72 = 90 ft^2

So the area of the figure is 90 square feet.

#4

Cut the figure into three rectangles.

4 * 8 = 32
4 * 8 = 32
12 * 12 = 144

32 + 32 + 144 = 208 ft^2

#5

Cut the figure into a rectangle and a triangle.

16 * 8 = 128
1/2 * 6 * 4 = 12

128 + 12 = 140 ft^2

#6

Cut the figure into a square and 4 semi-circles.

3 * 3 = 9
1/2 * 3.14 * 1.5^2 = 3.5325 * 4 = 14.13

9 + 14.13 = 23.13 ft^2

#7

Cut the figure into two rectangles and a triangle.

10 * 8 = 80
4 * 4 = 16
1/2 * 2 * 4 = 4

80 + 16 + 4 = 100 ft^2

#8

Cut the figure into a semi-circle, rectangle, and triangle.

6 * 4 = 24
1/2 * 3 * 2 = 3
1/2 * 3.14 * 2^2 = 6.28

24 + 3 + 6.28 = 33.28 ft^2