If the perimeter of the rectangle to the right is 96 inches, find the value of x
1 answer:
You must have an illustration to give an idea what x represents. If not, then we can never find a way to answer this for you. However, for educational purposes, let me just suppose a figure for us to solve. The diagram is shown in the attached picture.
The rectangle has dimensions of 6 + x by x units, where x is the width and (6+x) is the length. If you are given the perimeter of the rectangle, then the working equation to be used is shown below.
Perimeter = 2L + 2W
Generally, perimeter is the sum of all sides of the figure. Since rectangle is defined to be made up of two sets of equal parallel sides called length and width, the perimeter is simplified to be that way. Substituting the values,
96 inches = 2(6+x) + 2x
96 = 12 + 2x + 2x
96 = 12 + 4x
4x = 96 - 12
4x = 84
x = 84/4
x = 21 inches
The rectangle has dimensions of 6 + x by x units, where x is the width and (6+x) is the length. If you are given the perimeter of the rectangle, then the working equation to be used is shown below.
Perimeter = 2L + 2W
Generally, perimeter is the sum of all sides of the figure. Since rectangle is defined to be made up of two sets of equal parallel sides called length and width, the perimeter is simplified to be that way. Substituting the values,
96 inches = 2(6+x) + 2x
96 = 12 + 2x + 2x
96 = 12 + 4x
4x = 96 - 12
4x = 84
x = 84/4
x = 21 inches
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Hello again! So we will be using the pythagorean theorem (
) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract
from 31. And since there are 2 triangles, you'll need to multiply by 2.
In short, x = 14.0
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.
Solve the exponents to get
Subtract 289 on each side to get
Lastly, square root each side of the equation and your answer should be
Nextly, we will need to subtract
In short, x = 14.0