ANSWER ↓
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The answer is: " 9.6 inches " .
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Explanation:
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24 = 250/100 * x ;
24 = 2.5 x ;
↔ 2.5 x = 24 ;
2.5 x / 2.5 = 24/ 2.5 ;
x = 9.6 ;
The answer is: " 9.6 inches <span>" .
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Let the area of the original rectangle be A₁.
A₁ = (12 ft)(8 feet) = 96 ft²
To determine the area of the reduced triangle, let's compute the new dimensions first.
Length = 12 ft * 3/4 - 9 ft
Width = 8 ft *3/4 = 6 ft
Thus, the area of the new rectangle denoted as A₂ is
A₂ = (9 ft)(6 ft) = 54 ft
The ratio of the areas are:
A₂/A₁ = 54/96 = 9/16
The ratio of the sides are given to be 3/4.
Finally the ratios of the area to side would be:
Ratio = 9/16 ÷ 3/4 = 3/4
Therefore, the ratio of the areas is 3/4 of the ratio of the corresponding sides.
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