7.
1 answer:
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Answer:
Step-by-step explanation:
In order to solve this problem, one must use the trigonometric ratios. These ratios are the following,
Remember, each side is named relative to the angle, thus sides will attain different names depending on the angle which one sues to calculate with.
In this case, one is given the measure of the angle, and the measure of the side opposite to the angle. One is asked to find the measure of the side adjacent to the angle. Use the trigonometric ratio () to solve for the unknown. Substitute in the given values,
Manipulate the equation such that it is solved for the parameter(x),
Solve,
Answer:
Side of the square paper = 21 inches
Step-by-step explanation:
Let the square paper is having measure of each side = a inches
Esther cut this square piece into two pieces.
Let the other side of one rectangle piece = x inches
Perimeter of this piece = 2(a + x) inches
Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches
Perimeter of this piece = 2[a + (a - x)]
Since both the rectangular pieces have the same perimeter = 63
So, 2(a + x) = 2[a + (a - x)] = 63
2(a + x) = 2(2x - x)
a + x = 2a - x
2a - a = 2x
a = 2x
x =
Therefore, Perimeter = 2(a + x) = 2(a + ) = 63
= 63
3a = 63
a = 21
Therefore, measure of the sides of the square is 21 inches.
