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Answer:
52.9 inches .
Step-by-step explanation:
Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.
As we know that the area of triangle is ,
Substituting the respective values,
On using the <u>Quadratic</u><u> formula</u> , we have;
On simplifying above , we will get ,
Since sides can't be negative, therefore,
Therefore ,
Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;
Now we may find perimeter as ,