Question

would you rather have cheez its to cover a rectangle with a length of 9 and a perimeter of 22 or a length of 5 and a perimeter of 20

Answer 1

Answer:

The second one

Step-by-step explanation:

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Answer 2

Answer:

A length of 5 and a perimeter of 20

Step-by-step explanation:

Personally, I'm lactose intolerant so I wouldn't take any Cheez-Its, but oh well.

Everyone wants the most Cheez-its, right? So we need to find the rectangle with the greatest area.

Let's look at the first one, a rectangle with a length of 9 and a perimeter of 22.

The perimeter of a rectangle can be expressed as $2l+2w$, where l is the length and w is the width.

We know the length and area, so let's solve for w (the width).

$2\cdot9+2w=22\\\\18+2w=22\\\\2w=4\\\\w=2$

So the width is 2. The area of a rectangle is the length times the width.

$9\cdot2=18$

So the first rectangle has an area of 18.

Using the same concept for the second statement, a length of 5 and a perimeter of 20, we can find the area.

$2l+2w=20\\\\2\cdot5+2w=20\\\\10+2w=20\\\\2w=10\\\\w=5\\\\5\cdot5=25$

So the area of the second one is 25.

The greatest area is 25, so you'd want this one.

Hope this helped!