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Maths-

General

Easy

Question

. A triangle has a height of 2x+6 and a base length of x+4. What is the area of the triangle?

hint Hint:

Area of triangle is given by

, Where ‘b’ is base, and ‘h’ is height.

The correct answer is: Hence, Area of triangle is x2 + 7x + 12.

Answer:

Step by step explanation:

Given:

Height (h) = 2x + 6
Base (b) = x + 4

Step 1:

Find area of triangle:

$text Area of triangle end text equals 1 half b h$
A = $1 half$ × (2x + 6) × (x + 4)
$straight A equals 1 half cross times left square bracket 2 straight x cross times left parenthesis straight x plus 4 right parenthesis plus 6 cross times left parenthesis straight x plus 4 right parenthesis right square bracket$
$A equals 1 half cross times open square brackets 2 x squared plus 8 x plus 6 x plus 24 close square brackets$
$A equals 1 half cross times open square brackets 2 x squared plus 14 x plus 24 close square brackets$
$straight A equals fraction numerator 2 straight x squared plus 14 straight x plus 24 over denominator 2 end fraction$
$A equals x squared plus 7 x plus 12$

Final Answer:

Hence, Area of triangle is x² + 7x + 12.

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