Answer:
48 cm²
Step-by-step explanation:
Let's call the width and height of the rectangle w and h.
w / h = 3 / 4
2w + 2h = 28
Solve the system of equations with substitution.
w = 3/4 h
2 (3/4 h) + 2h = 28
3/2 h + 2h = 28
7/2 h = 28
h = 8 cm
So the width is:
w = 3/4 (8)
w = 6 cm
So the area is:
A = wh
A = 48 cm²
