Question

The area of a rectangle, A = 1•w is represented by the expression 24xBy15. Which could be the dimensions of the

rectangle?
O 2xy and 12xy?
O 6x?y and 4x® y5
O 10x®y 15 and 14x®y 15
O 9x4y11 and 12x2y4

Answer 1

The length and width of the rectangle are:
`\mathbf{2x^5y^8\:and\: 12xy^7}`

Option A is correct.

Explanation:

We are given:
`Area\:of\:rectangle=Length* Width`

if
`Area = 24x^6y^(15)`we need to find the length and width of rectangle from options given.

Looking at the options, Option B,C and D are incorrect because multiplying the given lengths and widths, the area is not equal to
`24x^6y^(15)`

Only Option A gives us the result i,e

`Area=2x^5y^8* 12xy^7\\Area=24x^6y^(15)`

So, the length and width of the rectangle are:
`\mathbf{2x^5y^8\:and\: 12xy^7}`

Option A is correct.