The answers: ______________________________________________ Problem #1) Answer choice: [A]: " 3 ¾ yd. " . ______________________________________________ Problem #2) The answer is: " ⁵⁄₂ m " . _________________________________________________ Explanations follows: ____________________________________________ Problem #1) ____________________________________________ A = L * w;
Given: A = 5 ⅝ yd² ; L = 1<span>½ yd ; </span>________________________ Find: "w" ; ________________________ 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"; _________________________________________________ Since: "A = L * w" ; Divide EACH SIDE of the equation by "L" ; to isolate "w" on one side of the equation: _________________________________________________ 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 <span>¾ yd. ; which is: "Answer choice: [A]". </span>_________________________________________________ Problem #2) _________________________________________________ A = L * w;
Given: A = (35/4) m² ; L = (7/2) m ; ________________________ Find: "w" ; ________________________ 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"; _________________________________________________ Since: "A = L * w" ; Divide EACH SIDE of the equation by "L" ; to isolate "w" on one side of the equation: _________________________________________________ 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 <span>½ m ; _______________________________________________ = </span>⁵⁄₂ <span>m ; {since the problem specifically asks to keep the 'fraction form"}.</span> ______________________________________________________
