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! :)
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! :)
#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
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