The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 188 feet. Find the length of the g
arden.
1 answer:
Step-by-step explanation:
<em>perim</em><em>eter</em><em>=</em><em> </em><em>2</em><em>×</em><em>L</em><em>e</em><em>n</em><em>g</em><em>t</em><em>h</em><em> </em><em>+</em><em> </em><em>2</em><em>×</em><em>w</em><em>i</em><em>d</em><em>t</em><em>h</em>
<em>from</em><em> </em><em>the</em><em> </em><em>qu</em><em>estion</em><em>,</em>
<em>perim</em><em>eter</em><em>=</em><em>1</em><em>8</em><em>8</em><em>f</em><em>e</em><em>e</em><em>t</em>
Length is 8 feet more than the width
which means that
length =8 + Width
substitute them into the question
188 = 2(8+width) +2w
188 =16 +2w+2w
188=16 +4w
solving for W
4w =188-16
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<h2>Hello!</h2>
The answer is:
The correct option is:
D. 40 feet.
<h2>Why?</h2>To solve the problem and calculate the width of the river, we need to assume that the distance from A to B and the angle formed between that distance and the distance from A to the other point (C) is equal to 90°, meaning that we are working with a right triangle, also, we need to use the given angle which is equal to 34°. So, to solve the problem we can use the following trigonometric relation:
Where,
alpha is the given angle, 34°
Adjacent is the distance from A to B, which is equal to 60 feet.
Opposite is the distance from A to C which is also equal to the width of the river.
So, substituting and calculating we have:
Hence, we have that the correct option is:
D. 40 feet.
Have a nice day!