Answer:
The dimension that maximizes area is 144ft by 144ft
Step-by-step explanation:
Given
-- perimeter
Required
The dimension that gives maximum area
Perimeter is calculated as:
So, we have:
Divide through by 2
Make L the subject
Area is calculated as:
Substitute
Open bracket
Differentiate A with respect to W
Set to 0 to calculate W
Collect like terms
Divide by 2
Recall that:
Answer:
The length of the patio is 32 ft and the width is 13 ft
Step-by-step explanation:
see the attached figure to better understand the problem
Let
L ----> the length of his patio
W ---> the width of his patio
we know that
----> equation A
----> equation B
substitute equation B in equation A and solve for W
Find the value of L
---->
therefore
The length of the patio is 32 ft and the width is 13 ft
Answer:
90 units²
Step-by-step explanation:
The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.
