72
The squared area of the box, from the question itself, is 61 square inches. Scaling up the linear dimensions by a factor of 10 will make the area 6100 square inches.
There are many different triangles that have an area of three square inches, here's one way to draw one: Draw a rectangle whose area is six square inches (or imagine what one's dimensions would be, e.g. 6x1 or 3x2) and cut it in half diagonally to make a right triangle that has an area of three square inches.
405 inches
It doesn't make any difference what the original dimensions are. If they're both cut in half, the area is reduced to 1/4 of the original area.
The area of a square is found by multiplying two of the equal sides together. A square has four equal sides and the four angles the sides make together are always equal to 90 degrees each. So, a square that is 10 inches by 10 inches has an area of 10 inches x 10 inches=100 square inches.
To determine the length of one side of a square with an area of 32 square inches, you need to find the square root of 32. The square root of 32 is approximately 5.66 inches. This means each side of the square would be approximately 5.66 inches long.
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Knowing the area doesn't tell you anything about the dimensions. You can make them anything you want, just as long as their PRODUCT is 72. There are an infinite number of possibilities. Here are just a few. Width x Length 1" . . x . . 72" 2" . . x . . 36" 3" . . x . . 24" 4" . . x . . 18" 5" . . x . . 14.4" 6" . . x . . 12" 7.2" . x . . 10" 8" . . x . . 9" To get additional numbers, choose any size for one of the dimensions; divide 72 by this number to get the other one. Whatever dimensions you decide on for your sign, it's not going to bring in a whole lot of business. 72 square inches is not much area for a sign. The area of a standard sheet of printer paper is about 93 square inches.
Yes - the term "linear inches" is used so as to make a distinction between them and square inches - a unit of area.
To calculate the square inches from lineal inches, you need a specific width measurement. If we assume a width of 1 inch, then 10000 lineal inches would equal 10000 square inches. If the width is different, you would multiply the lineal inches by the width in inches to get the square inches.
Use as much of the string as is possible to make the circle. In the limit, the circumference of the circle is 50 inches and the perimeter of the square is 0. This gives a circle with an area of 198.94 sq inches and a square with an area of 0 sq inches. Any string moved from the circle to the square will reduce the total area.
There is no sensible answer to this question. A square mile is a measure of area, with dimensions [L2]. A mile is a measure of distance, with dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions without additional information.