Solve the problem.
-Find the area of a triangle with a base of 7x inches and a height of (10x + 4) inches.
A) $\left( 17 x ^ { 2 } + 11 x \right)$ sq. in.
B) $\left( 35 x ^ { 2 } + 14 x \right)$ sq. in.
C) $\left( 70 x ^ { 2 } + 28 x \right)$ sq. in.
D) $( 35 x + 14 )$ sq. in.

Question

Solve the problem.
-Find the area of a triangle with a base of 7x inches and a height of (10x + 4) inches. 
A) $\left( 17 x ^ { 2 } + 11 x \right)$ sq. in.
B) $\left( 35 x ^ { 2 } + 14 x \right)$ sq. in.
C) $\left( 70 x ^ { 2 } + 28 x \right)$ sq. in.
D) $( 35 x + 14 )$ sq. in.

Quizplus · Accepted Answer

The area of a triangle is given by the formula $ \frac{1}{2} \times \text{base} \times \text{height} $. Substituting the given base and height, we get $ \frac{1}{2} \times 7x \times (10x + 4) = \frac{1}{2} \times (70x^2 + 28x) = 35x^2 + 14x $ sq. in.

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Solve the Problem $\left( 17 x ^ { 2 } + 11 x \right)$