Answer:
L = 29
w = 33
Step-by-step explanation:
Area = w × L
= (L + 4) × L
⇔ 956 = L² + 4L
⇔ 956 = (L + 2)² − 4
⇔ 956 + 4 = (L + 2)²
⇔ 960 = (L + 2)²
[tex]\Leftrightarrow L+2=\sqrt{960}[/tex]
[tex]\Leftrightarrow L+2=30.983866769659[/tex]
[tex]\Longrightarrow L+2 \approx 31[/tex]
[tex]\Longrightarrow L \approx 29[/tex]
[tex]\Longrightarrow w=L+4 \approx 29+4\approx33[/tex]
