Answer: The area of the triangle is:
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→ " (4x² + 6x) cm³ " .
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Step-by-step explanation:
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The formula for the "Area, "A" ; of a triangle is:
A = (1/2) * (baselength) * (perpendicular height) ;
→ that is:
→ A = (1/2) * b * h ;
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The Area, "A" ; should be in "cubic units" ; in our case, "cubic centimeters" ;
or; " cm³ " .
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Given: baselength: "b" = " 4x " ;
perpendicular height: " h = (2x + 3) " ;
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Plug in these values into the equation/formula:
A = (1/2) * b * h ;
→ A = (1/2) * (4x) * (2x + 3) ;
→ (1/2) * 4x = 2x ;
→ A = 2x (2x + 3) cm³
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→ 2x (2x + 3) = ?
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Note the "distributive property" of multiplication:
→ a(b + c) = ab + ac .
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As such:
→ 2x (2x + 3) = 2x(2x) + (2x)(3) ;
= 4x² + 6x ; ____________________________________________________
The area of the triangle is: " (4x² + 6x) cm³ " .
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Hope this helps!
Best wishes in your academic endeavors
— and within the "Brainly" community!
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