# John decided to expand his backyard deck. The dimensions of the rectangular deck are 25 feet by 30 feet. His new deck will be 50 feet by 600 feet. How much bigger will the new deck be?

Nov 15, 2016

$29 , 250$ sq. ft. larger or $40$ times larger.

#### Explanation:

Current size: $25 ' \times 30 ' = 750 s q . f t .$

New size: $50 ' \times 600 ' = 30 , 000 s q . f t .$

Difference in size: $30 , 000 s q . f t . - 750 s q . f t = 29 , 250 s q . f t .$

As a ratio: $\frac{30 , 000 s q . f t .}{750 s q . f t .} = 40$