On a sketch of a mural,3 inches represents one foot in the mural. A door in the sketch is 2 inches wide by 5 inches high. What is the perimeter of the door in the mural expressed in inches?
Answers
Answer:
Length of the door, l = 5 inches (in)
Width or Breadth of the door, w = 2 inches (in)
Perimeter p = 2(l + w)
= 2( 5 + 2) inches
= 2(5) inches + 2(4) inches
= 10 inches + 4 inches
= 14 inches or 14 in
Step-by-step explanation:
The perimeter of a plane shape is the measurement of the length of its outside boundary, which means the distance around its edges.
The door in the sketch is the shape of a rectangle. the distance around the edge of the door is the sum of all the sides. The longer side of a rectangle is called the length and it is usually represented by letter l while the shorter side is known as width or breadth represented by letter w and b respectively. The perimeter is calculated by the formula 2(l + w). where l means the length and w represents the width.
Final answer:
The perimeter of the door in the mural, when expressed in inches, is approximately 56.04 inches.
Explanation:
The subject of this problem is understanding scale drawings, a mathematical concept typically covered in middle school. To solve this problem, we first find out the actual dimensions of the door on the mural. In the sketch, 3 inches represent 1 foot. So, 1 inch would represent 1/3 of a foot. Hence, a door of 2 inches wide in the sketch would in reality be2/3 of a foot wide and 5 inches high in the sketch would be 5/3 of a foot high.
The perimeter of a rectangle (which is the shape of the door) is given by the formula 2 * (length + width). In terms of feet, the perimeter of the door in the mural would be 2 * ((5/3) + (2/3)) = 4.67 feet.
Since 1 foot equals 12 inches, the perimeter of the door in the mural would be 4.67*12, which equals 56.04 inches.
Learn more about Scale Drawings here:
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or
is the slope point form of the line.
Step-by-step explanation:
The given points are (-6,-4) and (2,-5) are as . Need to find out the point slope form of the line which passes through these points. The formula of slope point form for an equation of a straight line as
Hence, we have two points and we have to find out first slope of the line
Where m is the slope and is a point the line passes through. Hence, we have two points and we have to find out first slope of the line
Now, slope point form of the line is,
Similarly at (2,5),