SOLUTION: mr. silvers rectangular swimming pool. LENGTH is 4 more than three times its width. the area of the pool is 530 square feet, but he needs to put a patio around the pool for tables

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Question 959564: mr. silvers rectangular swimming pool. LENGTH is 4 more than three times its width. the area of the pool is 530 square feet, but he needs to put a patio around the pool for tables and chairs. mr.silver wants to install a 4.5 foot wide patio all the way around the pool. what is the area of the patio
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28L=4%2B3w%2C+wL=530%29, total area of patio and pool %28w%2B2%2A4.5%29%28L%2B2%2A4.5%29.

w%283w%2B4%29=530
3w%5E2%2B4w-530
w=%28-4%2B-+sqrt%2816%2B4%2A3%2A530%29%29%2F6
w=%28-4%2B-+sqrt%286376%29%29%2F6

1594%2A4=797%2A2%2A4=797%2A2%2A2%2A2

w=%28-4%2B-+2%2Asqrt%28797%2A2%29%29%2F%282%2A3%29

w=%28-2%2B-+sqrt%281594%29%29%2F3

w=%28sqrt%281594%29-2%29%2F3
highlight%28w=12.64%29

L=4%2B3%2Aw
L=4%2B3%2812.64%29
highlight%28L=41.92%29

Question is, what is the patio area?
Total combined area minus pool area is the patio area.
highlight%28%28w%2B2%2A4.5%29%28L%2B2%2A4.5%29-wL%29;
substitute the found values for w and L and evaluate this result.