Answer:
The area of the base of a box is 1800 cm².
Step-by-step explanation:
We have:
H: is the height = 4 cm
[tex]A_{l}[/tex]: is the lateral surface area = 120 cm
L = 2B
We can find the breadth of the base by using the lateral surface area and the height:
[tex] A_{l} = H*B [/tex]
[tex] B = \frac{A}{H} = \frac{120 cm}{4 cm} = 30 cm [/tex]
Now, if the length is twice its breadth we have:
[tex] L = 2B = 2*30 cm = 60 cm [/tex]
Hence, the area of the base is:
[tex] A_{b} = B*L = 60 cm*30 cm = 1800 cm^{2} [/tex]
Therefore, the area of the base of a box is 1800 cm².
I hope it helps you!
