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Which expression represents the area (in square units) of the triangle shown?

A. 32x+48 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰B. 16x+24C. 4x+14 â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â€‰â€‰D. 32x+6

Short Answer

Expert verified

Area of triangle =16x+24 square units.

Option B is correct.

Step by step solution

01

Step-1-Formula for area of triangle

Area of triangle =12×base×height.

From given information,

Base of triangle =4x+6.

Height of triangle =8.

02

Step-2-Substituting given values

On substituting given values,

Area of triangle =12×4x+6×8.

Area of triangle =4x+6×4.

Area of triangle =4x4+64.

Area of triangle =16x+24.

03

Step-3-Conclusion

Therefore, the area of triangle =16x+24 square units.

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