Question

If a rectangle has an area of $16x^7{y}^4$ and a base of $2x^{4}y$, what is its height.

• A. $(2xy{)}^3$
• B. $\left(2x^3{y}^3\right)$
• C. $(8xy{)}^3$
• D. $\left(4x^3{y}^3\right)$

Answer 1

The correct option is A $(2xy{)}^3$

Area of rectangle $=$ base $\times$ height.

Given, base$=2x^{4}y$.

And area $=16x^7{y}^4$.

Then $16x^7{y}^4=2x^{4}y\times$ height.

or, height $=8x^3{y}^3$

or, height $=(2xy{)}^3$.