The answers:
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Problem #1) Answer choice: [A]: " 3 ¾ yd. " .
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Problem #2) The answer is: " ⁵⁄₂ m " .
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Explanations follows:
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Problem #1)
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A = L * w;
Given: A = 5 ⅝ yd² ;
L = 1½ yd ;
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Find: "w" ;
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Since: A = L * w ; rearrange the equation to isolate "w" on one side of the equation; then plug in our known values to solve for "w";
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Since: "A = L * w" ; Divide EACH SIDE of the equation by "L" ;
to isolate "w" on one side of the equation:
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A / L = (L * w) / L ; A / L = w ;
↔ w = A / L = (5 ⅝ yd²) / (1½ yd) = (5.625 yd²) / (1.5 yd) = 3.75 ;
w = 3.75 yd. ; which equals: 3 ¾ yd. ; which is: "Answer choice: [A]".
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Problem #2)
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A = L * w;
Given: A = (35/4) m² ;
L = (7/2) m ;
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Find: "w" ;
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Since: A = L * w ; rearrange the equation to isolate "w" on one side of the equation; then plug in our known values to solve for "w";
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Since: "A = L * w" ; Divide EACH SIDE of the equation by "L" ;
to isolate "w" on one side of the equation:
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A / L = (L * w) / L ; A / L = w ;
↔ w = A / L = [(35/4) m²)] / [(7/2) m] =
[(8.75) m²)] / [(3.5)m] = 2.5 m = 2 ½ m ;
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= ⁵⁄₂ m ;
{since the problem specifically asks to keep the 'fraction form"}.
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