Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
62 is 90.5% of what number? 68.51 (I think)
Answer is b. A calculator to work out the answer
Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
4x + 6y = 44 → (1)
4x + 2y = 28 → (2)
Subtracting (2) from (1) term by term eliminates the term in x, that is
(4x - 4x) + (6y - 2y) = (44 - 28), that is
4y = 16 ( divide both sides by 4 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting y = 4 in (1)
4x + 6(4) = 44
4x + 24 = 44 ( subtract 24 from both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Solution is (5, 4 )