Answer:
Part a) [tex]4\ \frac{in}{ft}[/tex]
Part b) The perimeter and area of the painting in the scale drawing is 32 inches and 64 square inches respectively
Part c) The perimeter and area of the painting in the scale drawing is 8 feet and 4 square feet respectively
Step-by-step explanation:
Part a) What is the scale of the drawing?
To find out the scale drawing, divide the corresponding length in the painting by the corresponding length in the actual
so
[tex]\frac{8}{2}=4\ \frac{in}{ft}[/tex]
That means
4 inches in the drawing represent 1 foot in the actual
Part b) Find the perimeter and area of the painting in the scale drawing
we know that
The length of the painting in the drawing is 8 in
Find the height of the painting in the drawing
Multiply the height of the painting in the actual by the scale drawing
so
[tex]2\ ft=2(4)=8\ in[/tex]
Is a square
Find the perimeter
[tex]P=2(8+8)=32\ in[/tex]
Find the area
[tex]A=8^2=64\ in^2[/tex]
therefore
The perimeter and area of the painting in the scale drawing is 32 inches and 64 square inches respectively
Part c) Find the actual perimeter and area of the painting
we know that
The height of the painting in the actual is 2 ft
Find the length of the painting in the actual
Remember that the figure is a square (see part b)
so
The length of the painting in the actual is 2 ft
Find the perimeter
[tex]P=2(2+2)=8\ ft[/tex]
Find the area
[tex]A=2^2=4\ ft^2[/tex]
therefore
The perimeter and area of the painting in the scale drawing is 8 feet and 4 square feet respectively
Answer:
A)
Scale: 1/3
B)
Permeter: 40 Inches
Area: 96 Square Inches
C)
Perimeter: 120 Inches
Area: 288 Square Inches
