sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and i
1 answer:
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, , where <em>l</em> represents the length of the rectangle, and <em>w</em> represents the width of the rectangle.
We can set width as variable <em>x</em>. We are also given that the length is three times the width, hence it can be represented as <em>3x</em>.
Step 2:
We can now write our equation and solve for <em>x</em> :
We set <em>x</em> as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be meters.
<em>I hope this helps! Let me know if you have any questions :)</em>
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Because the triangle is isosceles, angle P and angle R are the same. Thus, your work would be:
. You then simplify this to 6x+4 + 196 - 8x = 180. Combine like terms, you get - 2x = - 20. x = 10.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
Plug x = 10 back into the equation 98 - 4x to get 98 - 4(10) which becomes 98 - 40 = 58.
Angle P should be equal to 58 degrees.
To check your work add up the angles to see if they equal 180:
58 + 58 + 6(10) + 4 = 116 + 64 = 180.
Answer:
<h2>In the attachment.</h2>Step-by-step explanation:
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