All ACT Math Resources
Example Questions
Example Question #5 :How To Find The Perimeter Of A Square
The diagonal of a square has a length of 10 inches. What is the perimeter of the square in inches squared?
Using the Pythagorean Theorem, we can find the edge of a side to be √50, by 2a2=102. This can be reduced to 5√2. This can then be multiplied by 4 to find the perimeter.
Example Question #1 :How To Find The Perimeter Of A Square
What is the perimeter of a square with an area of?
1. Find the side lengths:
2. Use the side lengths to find the perimeter:
Example Question #1 :How To Find The Perimeter Of A Square
Find the perimeter of a square whose area is.
来解决,首先必须找到边长。
Then, you must multiply the side length by 4 since there are 4 sides. Thus,
In this case, volume and perimeter were the same numerical value, but this won't always be the case.
Example Question #2 :How To Find The Perimeter Of A Square
Find the perimeter of a square with side length.
To find perimeter, simply multiply side length by. Thus,
Example Question #3 :How To Find The Perimeter Of A Square
The area of a square is, what is the perimeter of the square?
Since the sides of a square are all the same, the area of a square can be found byTherefore, the side of the square must beThe perimeter of a square can be found by adding up all of the four sides:
Example Question #7 :How To Find The Length Of The Side Of A Square
If the area of the square is 100 square units, what is, in units, the length of one side of the square?
Example Question #8 :How To Find The Length Of The Side Of A Square
In Square,. Evaluatein terms of.
If diagonalof Squareis constructed, thenis a 45-45-90 triangle with hypotenuse. By the 45-45-90 Theorem, the sidelengthcan be calculated as follows:
.
Example Question #9 :How To Find The Length Of The Side Of A Square
The circle that circumscribes Squarehas circumference 20. To the nearest tenth, evaluate.
一个圆的直径和周长20
The diameter of a circle that circumscribes a square is equal to the length of the diagonals of the square.
If diagonalof Squareis constructed, thenis a 45-45-90 triangle with hypotenuse approximately 6.3662. By the 45-45-90 Theorem, divide this byto get the sidelength of the square:
Example Question #10 :How To Find The Length Of The Side Of A Square
Rectanglehas area 90% of that of Square, andis 80% of. What percent ofis?
The area of Squareis the square of sidelength, or.
The area of Rectangleis. Rectanglehas area 90% of that of Square, which is;is 80% of, so. We can set up the following equation:
As a percent,ofis
Example Question #411 :Act Math
Reducing the area of a square by 12% has the effect of reducing its sidelength by what percent (hearest whole percent)?
The area of the square was originally
,
being the sidelength.
Reducing the area by 12% means that the new area is 88% of the original area, or; the square root of this is the new sidelength, so
Each side of the new square will measure 94% of the length of the old measure - a reduction by 6%.