Question

If the area of a rectangle is 12$b^{7}$b$b^{4}$ and the width of the rectangle is 4$a^{2}$$b^{2}$ , what is the length of the rectangle?

Answer 1

$\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}$