Question 952084
x=shorter leg (height); x+2m=longer leg (base); Area=1/2(base)(height)
A=(1/2)(x)(x+2)
{{{48m^2=(1/2)(x^2+2x)}}} Multiply each side by 2.
{{{96m^2=x^2+2x Subtract 96m^2 from each side.
{{{0=x^2+2x-96m^2}}}*[invoke quadratic "x", 1, 2, -96 ]
ANSWER 1: The shorter side is 8.85 meters.
x+2=8.85+2=10.85 ANSWER 2: The longer side is 10.85 meters.
CHECK:
a=1/2(b)(h)
48 sq m=(1/2)(10.85 m)(8.85m)
48 sq m=48 sq m