If each 6 in. On the scale drawing below equals 3 feet, what is the actual area of the shape in square units?
1 answer:
Answer:
32 ft²
Step-by-step explanation:
Assuming the diagram attached below similar to the one required to complete the question below.
From the diagram,
Actaul Area of a parallelogram (A) = Actual Base(b)× actual heigth(h)
A = bh.......................... Equation 1
From the question,
If each 6 in on the scale drawing equals 3 feet
Given:
base on the scale drawing = 8 in.
Actual base(b) = (8×3)/6 = 4 feet.
Height on the scale drawing = 16 in
Actual height(h) = (16×3)/6 = 8 feet.
Substitute these values into equation 1
A = 4×8
A = 32 ft²
Hence the actual area of the shape is 32 ft²
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ANSWER
The solution is
x=-3,y=-2
EXPLANATION
First equation
3x – 3y = –3
Second Equation:
5x – y = –13
Multiply the second equation by 3 to get:
Third equation:
15x-3y=-39
Subtract the first equation from the third equation:
Divide both sides by 12,
Put x=-3 into the first equation:
Group like terms,
The solution is
x=-3,y=-2