The balcony of an apartment is 4 feet by 7 feet. on a scale drawing of the apartment, the balcony is 0.8 inch by 1.4 inches, and the kitchen is 2.4 inches by 2.8 inches.

what are the actual dimensions of the kitchen?

First you must find the scale.
Divide 4 by 0.8.
You get 5.
Divide 7 by 1.4.
That also gives you 5.
This means the scale drawing is 5 times smaller than the real dimensions.

On the scale drawing, the kitchen is 2.4 by 2.8 inches.
All you have to do is multiply both of these by 5 and change it to feet.
2.4 x 5 = 12
2.8 x 5 = 14
So the dimensions of the kitchen are 12 feet by 14 feet.