Answer:
88 cm²
Step-by-step explanation:
w = x
l = x + 3
P = 38
We know that [tex]P=2l+2w[/tex], so we substitute known values:
[tex]P=2l+2w\\38=2(x+3)+{2(x)}\\38=2x+6+2x\\38=4x+6\\32=4x\\8=x[/tex]
Therefore, we know that the width (x) is 8 cm and the length (x + 3) is 8 + 3 = 11 cm. To verify, we can check that the perimeter equals 38:
8 + 11 + 8 + 11 = 38. Check.
Thus, the area of the rectangle is:
[tex]A=l\times{w}\\A=11\times{8}\\A=88[/tex]
Therefore, the area is 88 cm².
