Question

Two rectangle have the same area. The measurements of the first rectangle is 3kby 3 and the measurements of the second rectangle is k +3 by 6

Calculate the value of k

Answer 1

....we calculate the area of ​​rectangles

1st rectangle: 3k*3=9k

2nd rectangle: 6(k+3)= 6k+18

the 2 rectangles have the same area,

we write :

9k=6k+18

we solve to find the value of k

9k=6k+18

9k-6k=18

3k=18

k = 18/3 =6

the value of k: 6

Explanation:

Answer 2

Since the two rectangles have the same area, you can set up an equation using their dimensions:

Area of first rectangle = Area of second rectangle

(3k) * 3 = (k + 3) * 6

Solve for k:

9k = 6k + 18

Subtract 6k from both sides:

3k = 18

Divide both sides by 3:

k = 6

So, the value of k is 6.