Question

Two rectangle have the exact same are the measurement of the first rectangle is 3k by 3 and the measurement of the second rectangle is k+3 by 6 calculate the value of k

Answer 1

Explanation:

To find the value of k, you can set up an equation using the given information that both rectangles have the same area. The area of a rectangle is given by the formula:

Area = Length × Width

For the first rectangle, with measurements 3k by 3, the area is:

Area of First Rectangle = (3k) × 3 = 9k

For the second rectangle, with measurements (k + 3) by 6, the area is:

Area of Second Rectangle = (k + 3) × 6 = 6(k + 3)

Since both rectangles have the same area, you can equate these two expressions:

9k = 6(k + 3)

Now, solve for k:

9k = 6k + 18

Subtract 6k from both sides:

3k = 18

Now, divide both sides by 3 to find the value of k:

k = 18 / 3

k = 6

So, the value of k is 6.