Question

See attachment

Answer 1

x(x+6) = 10

Answer 2

is that enough?

Answer 3

is that the answer? Cuzz it dosnt look right.

Answer 4

No it is a hint . Solve for x

Answer 5

Do you know how to solve quadratics?

The trick is:
Let width = x
then length = x+6

Area = width * length = x(x+6) = 10

therefore x^2 + 6x -10 = 0

Answer 6

Therefore x is either 1.36 or -7.36

the width cant be negative. So the answer is 1.36

Answer 7

ok so L=-7.36 & W=1.36?

Answer 8

L can't be negative.

Answer 9

Or, W can't be negative. You need to pick the positive root of that quadratic.
So, W is 1.36. Remember, L is 6 more than W (L = W + 6). So, L equals 1.36+6.

Answer 10

ok so L=7.36 & W=1.36?

Answer 11

Yes. But, is is not 7.36 because of the roots of that equation. It is just a coincidence. It is 7.36 because the problem statement says Length is 6 less than Width.