36×4=144

area 36×36=1296 not sure if thats the max but fits as ans

Perimeter is the sum of the outside edges of any thing, correct? Example, a square has an edge 2 units long- the perimeter will be 2 + 2 + 2 + 2 = 8. Easy? Ok.

Area is the product of the two edges: length and width. Since it’s a square, all edges will be 2 units long (for this example). So the area is 2 * 2 = 4.

Alright, now you’re simply taking the above two pieces of information and working backwards:

Perimeter = 144 inches. And there are given areas. Let’s start with the biggest number there- 1296 square inches. Can you find the square root of that? (This is one way of trying to solve this problem) Yes- it’s 36 inches. Well, that means that each side is 36 inches. Does 36 + 36 + 36 + 36 = 144? Yes! A square is also a form of rectangle, so there you go! There is your answer! Hope this helps 🙂

side 1 + side 2 + side 3 + side 4 = p

area is represented by width times length

Width * Length = Area

So to answer this question you needto find out what the length and width of a rectangle with a 144 inch perimeter is.

so take 144 and divide by 4.

144/4 = 36 or

36 + 36 + 36 + 36 = 144

Now that makes a square and squares are rectangles. So, now take the width and length of the square and multiply them.

36 * 36 = 1296 inches squared.

your answer is D

The rectangle with the largest area:perimeter ratio is always a square. A square has 4 equal sides, so divide 144 by 4 to get the length of each side. Each side is 36 inches. Area is length times width: 36 in x 36 in = 1296 sq in

It’s been awhile since I’ve delt with this type of math, but to find the answer, you just divide the perimeter by 4 (144/4=36) and this gives you the length of one side (and turns the rectangle into a square, which has the greatest area).

You then just take 36*36=1296.

Hope that helps.

The perimeter of a rectangle is the sum of it’s sides. Assuming that the shorter sides =x and the longer sides =y. You can write “2x + 2y = 144”. So solve that to “x+y=72”

Now find all the things that add up to 72 as x and y. Then because the area of a rectangle is x times y you can input the values you found and see what the largest number you get is that fits one of your multiple choice answers.

wnhen area is maximum the differential of this function=0.

That is, p/2-2a=0; therefore a=p/4.

In this case p=144; a=36 and area=1296 sq. ins.