Answer:
The total area between the squares is of 24 units squared.
Step-by-step explanation:
Area of a square:
The area of a square of side length l is given by:
Area between figures:
The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.
Larger square:
Square with side of length 7. So
Smaller square:
Square with side of length 5. So
What is the total area between the squares?
The total area between the squares is of 24 units squared.
Look at point (-3,-1) on triangle I. The corresponding point on triangle II is (-4, 1). X moved 1 to the left, so a -1 will go in the box for x. Y moved up 2, so a 2 will go in the box for y.
Each of the triangles are equal in base length, height, and area. Remember the formula for the area of a triangle. The area of any triangle is 1/2 times the length of the base (which, in the polygon, is the length of a side) multiplied by the height (which is the same as the apothem in regular polygon).
If you unroll the fence, you find it has a length equal to the circumference of a circle of radius 10 m and an average height of 3 m. Its two-sided area will be
... A = 2·(3 m)·(2π·(10 m)) = 120π m²
Then the amount of paint required is
... (120π m²) × (1L)/(100 m²) = 1.2π L ≈ 3.77 L
