Question 701863
let the width of the rectangle be called x.
since the length is 4 times the width, the length will be 4x.
Now, area = length times width for a rectangle.
so the area of this rectangle, 256 square metres, is 4x times x, that is
{{{4x^2 = 256}}}
dividing by 4 gives
{{{x^2 = 64}}}
to find x we have to 'undo' the squaring of x by taking the square root.
so{{{sqrt(64) = 8}}}
therefore x = 8.
which means that the width is 8m and the length is 32m