Question

The area of a rectangle is represented by the expression 6x3y5. Which of the following could be the dimensions of the rectangle?

a)2xy2 and 3x2y3

b)2xy2 and 4x2y3

c)2x3y and 3y4

d)2x3y and 3xy4

Answer 1

the answer is A and C, Hope this helps!

Answer 2

Option A : 2xy² & 3x²y³

Option C : 2x³y & 3y⁴

Explanation:

We know that the formula to find the area of rectangle

Area of Rectangle = L * W

where L is the length of rectangle

W is the width of the rectangle

Here we check the all option one by one.

Option A : (2xy²) * (3x²y³) = 2*3*x*x²*y²*y³ = 6x³y⁵

Option B : (2xy²) * (4x²y³) = 2*4*x*x²*y²*y³ = 8x³y⁵

Option C : (2x³y) * (3y⁴) = 2*3*x³*y*y⁴ = 6x³y⁵

Option A : (2x³y) * (3xy⁴) = 2*3*x³*x*y*y⁴ = 6x⁴y⁵

So, option A and C are correct.

I hope it will help you.

That's the final answer.