You are making a square quilt with the design shown at the right. Find the side length x of the inner square that would make its area equal to 50% of the total area of the quilt.
Answers
Given : a square quilt with the design shown
Side = 6 feet
To Find : the side length x of the inner square that would make its area equal to 50% of the total area of the quilt.
Round to the nearest tenth of a foot.
a. 4.1 ft
b. 4.3 ft
c. 4.4 ft
d. 4.2 ft
Solution:
Area of square = ( side)²
Area of Quilt = 6² = 36 sq feet
50% of the total area of the quilt. = (50/100) 36 = 18 sq feet
Area of design = 18 sq feet
Area of design = x² sq feet
x² = 18
=> x = 3√2
=> x = 3 ( 1.414)
=> x = 4.242 feet
4.2 ft Round to the nearest tenth of a foot.
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