The area of the triangle is expressed as 6x² + 23x + 7/ 2
How to determine the area
The formula for area of a triangle is expressed as;
Area = 1/ 2 × b × h
Where;
- b is the length of the base = 3x + 1
- h is the height of triangle = 2x + 7
Substitute into the formula
Area = 1/ 2 × (3x+ 1) (2x + 7)
expand the bracket
Area = 1/ 2 ×(6x² + 21x + 2x + 7 )
collect like terms
Area = 1/ 2 (6x² + 23x + 7)
Area = 6x² + 23x + 7/ 2
Thus, the area of the triangle is expressed as 6x² + 23x + 7/ 2
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