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Step-by-step explanation:
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
If the equation 2(g - h) = b + 4 is solved for g. Then the value of g will be b/2 + h + 2.
<h3>What is the solution of the equation?</h3>
A combination of equations solution is a collection of values x, y, z, etc. that enable all of the calculations to true at the same time.
The equation is given below.
2(g - h) = b + 4
Then solve the equation for the value of g. Then we have
2(g - h) = b + 4
g - h = b/2 + 2
g = h + b/2 + 2
More about the solution of the equation link is given below.
brainly.com/question/545403
#SPJ1
Answer:
Area = 
Step-by-step explanation:
The area of the shaded region is equal to the total area of the full square minus the area of the non shaded region.
The area of a rectangle is its base times its high
So A=b*a.
For the full square, A1=
For the non shaded square, A2 = 
So the shaded area is A1-A2 = 
First calculate the percentage of math.
100-23-30-15-12
=20%
then 150x20% for the math
=30 so there are 30 students chose math.
