the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70
1 answer:
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Answer:
No
Step-by-step explanation:
Let's use the Pythagorean Theorem. For those of you that don't know, it is .
11 is the bigger side in this case, so our formula would go like this: .
We now calculate to see if this is true.
25 + 36 121
Therefore, the answer is wrong.
Answer:
and
.
Step-by-step explanation:
Please find the attachment.
We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.
The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:
We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:
Let us find area of window equation as:
Now, we will solve for L is terms W from perimeter equation as:
Substitute this value in area equation:
Since we need the area of window to maximize, so we need to optimize area equation.
Let us find derivative of area equation as:
To find maxima, we will equate first derivative equal to 0 as:
Upon substituting in equation
, we will get:
Therefore, the dimensions of the window that will maximize the area would be and
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