Answer: 54 cm²
Step-by-step explanation:
Let's use W for width and L for length.
Based on the given information, the length is 3cm longer than its width. So, we can express the length in terms of the width as L = W + 3.
The perimeter P of a rectangle is given by the formula P = 2(L+W). We are given that P = 30. So, we can set up this equation:
30 = 2(W+3+W)
Now, let's solve for W:
30 = 2(2W+3)
30 = 4W + 6
24 = 4W
W = 6cm
Since we know the width of the rectangle, we can solve for the length. We can do this with the equation we set up earlier: L = W + 3.
L = 6 + 3
L = 9cm
Since we know the length and the width, we can now find the area. The area A of a rectangle is found by multiplying the length times its width.
A = 9 · 6
A = 54 cm²
The area of the rectangle is 54 cm².
Learn more about area here: https://brainly.com/question/25292087
