SOLUTION: Please help me solve this question please; Kate has a pond in her garden. The surface is a circle with radius 0.75m. Kate wants to keep fish in the pond. She finds this inform

Question 838273: Please help me solve this question please;
Kate has a pond in her garden.
The surface is a circle with radius 0.75m.
Kate wants to keep fish in the pond.
She finds this information on the internet.
Total length of all fish should not be more than 5cm for each 0.1metre square of the pond's surface area.
The fish she chooses are each 8cm long.
What is the maximum of these fish that Kate can buy of her pond?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
The surface area of the pond is A=Pi*r^2 where r is the radius. Sooo
A=Pi*(0.75)^2
A= Pi*(0.5625)=(3.14)*(0.5625)
A=1.77 sq meters
Let x=number of (1/10) of sq meters contained in the surface area
(1/10)x=1.77 multiply each side by 10
x=(1.77)*10=(17.7)= number of (1/10)'s sq meters contained in the surface area
Then the total length of all the fish =(5cm)*17.7=88.5 cm
Now if the fish she chooses are 8cm then the total number of fish allowed is (88.5)/8=11.06 but since you can't have .06 of a fish the answer is 11

Hope this helps---ptaylor
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