Marjorie has a square tabletop whose area is 36 square feet. What is the tabletop’s perimeter?

1 answer:

5 0

24. Since the area of a square is 36, it's best to figure out what the factors of 36 are.

The square root of 36 is going to be 6 so both factors are going to be six.

You don't have to worry about the side lengths being different because it's a square; therefore, the sides can't be uneven like a rectangle characteristically would.

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A rectangle has a length of 45 inches less than 4 times its width. if the area of the rectangle is 3325 square inches, find the

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The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have $3325=4w^2-45w$ . Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. $4w^2-45w-3325=0$ . We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!

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$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u$
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