Please help, will give extra points
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Answer:
The width of the rectangle is <u>7 feet</u>.
Step-by-step explanation:
Given:
The perimeter of a rectangle is 54 feet, and the length is 13 feet more than the width.
Now, to find the width of the rectangle.
Let the width be
So, the length is
Perimeter = 54 feet.
Now, to get the width we put formula:
<em>Subtracting both sides by 26 we get:</em>
<em>Dividing both sides by 4 we get:</em>
Therefore, the width of the rectangle is 7 feet.
Drawing a diagram to represent the information you've given, the only angle we are missing is B. We can find that by subtracting the two we're given from 180:
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.
180 - 90 - 48.8 = 41.2
<em>m</em>∠<em>B</em> = 41.2°.
We can use the angles and the one side we're given to find the remaining sides. Since we do not know the length of the hypotenuse, AB, we cannot use sine or cosine. We must use tangent (the ratio for tangent is opposite/adjacent):
Multiply both sides by 1.6:
This is the length of side AC, which is opposite to angle B.
To find the length of AB we can use the Pythagorean Theorem:
The length of side AC, the hypotenuse, is 4 inches.