Answer:

Step-by-step explanation:

Second equation times 3:

1st equation minus equation above:

Insert to equation:

Answer:

Step-by-step explanation:
Given

Required
Solve
Let

Differentiate



Make dx the subject

The given integral becomes:



Recall that: 
Make
the subject

Square both sides


Substitute
for
in 

Simplify



In standard integration

So, the expression becomes:


Recall that: 

A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60