Answer:
B
Step-by-step explanation:
Givens
a = 2 sqrt(3)
b = 3 sqrt(2)
c = ?
Formula
a^2 + b^2 = c^2
Solution
- (2sqrt(3))^2 = 2*2 * sqrt(3)*sqrt(3)
- (2sqrt(3))^2 = 4 * 3
- (2sqrt(3))^2 = 12
- (3sqrt(2))^2 = 3 * 3 * sqrt(2)*sqrt(2)
- (3sqrt(2))^2 = 9 * 2
- (3sqrt(2))^2 = 18
(2sqrt(3)^2 + 3sqrt(2)^2 ) = c^2
4*3 + 9*2 = c^2
12 + 18 = c^2
c^2 = 30
sqrt(c)^2 = sqrt(30)
c = sqrt(30)
Answer
B
9 and 4. 9*4 = 36, 9 + 4 =1 1.
$103.92
Process:
64.95/5 = 12.99, 12.99 x 8 = 103.92
Answer: the area of the garden is 297 ft^2
Step-by-step explanation:
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84ft. This means that the total distance around the restaurant is 84ft.
Perimeter of a rectangle is expressed as 2(L + W)
L = length of the rectangle
W = width of rectangle.
Since the perimeter is 84ft
2(L + W) = 84
If the length of the garden is 24ft longer than the width of the garden, this means that
L = W + 24
Therefore
2(W +24 + W) = 84
2(2W +24) = 84
4W + 48 = 84
4W =84 - 48 = 36
W = 36/4 = 9
L = W + 24 = 9+24
L = 33 feet
Area if a rectangle is expressed as
Area = L× W
Area = 33 × 9 = 297 ft^2
