A man wants to build his house in Baguio City. He bought a land that is located

Question

A man wants to build his house in Baguio City. He bought a land that is located at the top a hill. To ensure his family's safety, he wants to know whether the land In which he will build his house will be stable. Aside from hiring a civil engineer, he also hired a geologist that will conduct a study about the stability of the area since it is a well-known fact that the city is prone to landslides and earthquakes. To calculate the area of the land that is needed to be removed, the geologists used a tool to get an equation for the hill, which is defined as y = x(45 - x). Later on, the man decided that he wanted to remove a height of 10m of the land. Calculate the total area of the land that will be excavated in order to have a stable house in the top of a hill with y = 15m as reference.

Explanation / Answer

GIVEN y=x(45-x)   AND y=15

FROM ABOVE TWO EQUATIONS

x(45-x)=15

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