Ty whoever helped me with my last questions. This is my last question have a great day yall. Penny’s backyard contains a flower garden. The dimensions of the actual garden are 5 feet by 7½ feet. A scale drawing of the flower garden is shown below. Flower Garden: 3 in x 4.5 in
What is the scale factor from the actual flower garden to the scale drawing?
Be sure to express your ratio in simplest form.
If the drawing is enlarged by a scale factor of 5/2, what would be the dimensions of the flower garden in the new scale drawing? Express your dimensions in decimal form. Enter the smaller of your two lengths in the first answer box.
____ inches x ___ inches
What is the scale factor from the actual flower garden to the new scale drawing?
Be sure to express your ratio in simplest form.
Answers
Given : backyard contains a flower garden.
The dimensions of the actual garden are 5 feet by 7½ feet.
Flower Garden on drawing : 3 in x 4.5 in
To Find Scale factor
Solution:
The dimensions of the actual garden are 5 feet by 7½ feet.
1 ft = 12 inch
=> 5 feet = 5 * 12 = 60 inch
7 1/2 feet = 7.5 * 12 = 90 inch
The dimensions of the actual garden are 60 inches by 90 inches
Flower Garden on drawing : 3 in x 4.5 in
3 : 60 = 1 : 20
4.5 : 90 = 1 : 20
Scale of drawing = 1 : 20
scale factor from the actual flower garden to the scale drawing = 60/3 = 20/1
= 20 : 1
drawing is enlarged by a scale factor of 5/2
dimensions of the flower garden in the new scale drawing
=> 3(5/2) and 4.5(5/2)
= 7.5 inches and 11.25 inches
new scale factor from the actual flower garden to the scale drawing = 60/7.5 = 8 : 1
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