Answer:
d
Step-by-step explanation:
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
The answer would be 3 because you would count the amount of ‘x’s in the chart
Answer:
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
---- the perimeter of fencing
Required
The maximum area
Let


So, we have:

This gives:

Divide by 2

Make L the subject

The area (A) of the fence is:

Substitute 

Open bracket

Differentiate with respect to W

Set to 0

Solve for 2W

Solve for W

Recall that:




So, the maximum area is:


