Question 949113
W=width; L=length=6W-13 cm;A=L*W=15 sq cm
A=L*W
15 sq cm=L*W Substitute for L.
15 sq cm=(6W-13)(W)
{{{15 sq cm=6W^2-13W}}} Subtract 15 sq cm from each side.
{{{0=6W^2-13W-15 sq cm}}}
*[invoke quadratic "W", 6, -13, -15 ]
The answer we want is 3 ANSWER: Width is 3 cm.
L=6W-13=6(3)-13=18-13=5 cm ANSWER: Length is 5 cm.
CHECk:
A=L*W
15 sq cm=5 cm*3 cm
15 sq cm=15 sq cm