Question 1141520
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a=1/2bh 90 square units and height is x+2 and base is 5x+35. what is the base 
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Formula:
Area of triangle,  {{{(1/2)bh}}}
for base b and height h.



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If triangle has base 5x+35 and height x+2, and area is 90 square units, find value of base.
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{{{highlight_green((1/2)(5x+35)(x+2)=90)}}}
Solve this for x, and evaluate 5x+35.



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{{{(1/2)*5(x+7)(x+2)=90}}}
{{{(1/2)(x+7)(x+2)=18}}}
{{{(x+7)(x+2)=36}}}
Thinking about possible integer factors of 36 differing by 5;
{{{9*4=36}}}
 {{{x+7=9}}} and {{{x+2=4}}};
{{{highlight_green(x=2)}}}
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Now you evaluate  {{{5x+35}}}....