The width of a rectangle is 3 feet shorter than its length. The perimeter is 306 feet. Let x equal the length of the rectangle.
1 answer:
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Answer:
Joshua solved 7 math problems and tread 14 pages.
Step-by-step explanation:
Let x be the number of math problems Joshua solved. The number of pages Joshua read is twice the number of math problems he solved, then 2x is the number of pages Joshua read.
Joshua can solve each math problem in 2.5 minutes, then x math problems he solves in 2.5x minutes.
Joshua can read each page in 3 minutes, then 2x pages he reads in minutes.
It took him 59.5 minutes to complete all of his homework, so
Solve this equation:
Joshua solved 7 math problems and tread 14 pages.
There are two acceptable ways of solving this. I'll show both (just in case one of them doesn't align with the information from your textbook).
Option 1 (fast and easy):
The following is the equation for the area of a regular pentagon with side length s.
Plug s=12 into the equation.
The third choice should be your answer.
Option 2 (much more complicated):
The area of a regular polygon can be solved with the following formula.
Let's solve for the apothem.
A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.
An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.
The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.
The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.
(it seems that we're off by 0.1 due to rounding errors)
The answer is the third choice. Hope this helps! :)
Option 1 (fast and easy):
The following is the equation for the area of a regular pentagon with side length s.
Plug s=12 into the equation.
The third choice should be your answer.
Option 2 (much more complicated):
The area of a regular polygon can be solved with the following formula.
Let's solve for the apothem.
A pentagon can be divided into 5 congruent isosceles triangles. The vertex angle will be 360/5, or 72 degrees.
An isosceles triangle can be divided into two right triangles. One of the angles of the right triangle will be 72/2, or 36 degrees.
The leg opposite of the 36 degree angle will be 12/2, or 6 inches long.
The apothem is about 8.26 inches.
The perimeter is 12*5, or 60 inches.
(it seems that we're off by 0.1 due to rounding errors)
The answer is the third choice. Hope this helps! :)