SOLUTION: Area of parallelogram: 52 Base: (2h+5) Height: h How do you find out h?

Algebra ->  Parallelograms -> SOLUTION: Area of parallelogram: 52 Base: (2h+5) Height: h How do you find out h?      Log On


   

Question 583309: Area of parallelogram: 52
Base: (2h+5)
Height: h
How do you find out h?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Area = base*height
+52+=+h%2A%28+2h+%2B+5+%29+
+52+=+2h%5E2+%2B+5h+
+2h%5E2+%2B+5h+-52+=+0+
Use the quadratic formula
h+=+%28+-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
+a+=+2+
+b+=+5+
+c+=+-52+
h+=+%28+-5+%2B-+sqrt%28+5%5E2+-+4%2A2%2A%28-52%29+%29%29%2F%282%2A2%29+
h+=+%28+-5+%2B-+sqrt%28+25+%2B+416+%29%29+%2F+4+
h+=+%28+-5+%2B-+sqrt%28+441+%29%29+%2F+4+
h+=+%28+-5+%2B-+21+%29+%2F+4+ ( ignore the negative square root )
+h+=+%28+-5+%2B+21+%29+%2F+4+
+h+=+16%2F4+
+h+=+4+
The height is 4
check:
Area = +h%2A%28+2h+%2B+5+%29+
Area = +4%2A%28+2%2A4+%2B+5+%29+
Area = +4%2A13+
Area = +52+
OK