Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
D (x-10)
Step-by-step explanation:
x^2 - 8x - 20
(x -10)(x+2)
Length:
60% of 6 is 3.6
3.6 x 6 = 21.6
Width:
150% of 5 is 7.5
7.5 x 5 = 37.5
So her mothers garden should be 21.6 feet in length, and 37.5 feet in width.
