Chapter 2: Q3. (page 113)

Which expression represents the area (in square units) of the triangle shown?
$\begin{array}{l} A . 32 x + 48 B . 16 x + 24 \\ C . 4 x + 14 D . 32 x + 6 \end{array}$

Short Answer

Expert verified

Area of triangle $= 16 x + 24$ square units.

Option B is correct.

Step by step solution

Step-1-Formula for area of triangle

Area of triangle $= \frac{1}{2} \times b a s e \times h e i g h t$ .

From given information,

Base of triangle $= 4 x + 6$ .

Height of triangle $= 8$ .

Step-2-Substituting given values

On substituting given values,

Area of triangle $= \frac{1}{2} \times (4 x + 6) \times 8$ .

Area of triangle $= (4 x + 6) \times 4$ .

Area of triangle $= (4 x) 4 + (6) 4$ .

Area of triangle $= 16 x + 24$ .

Step-3-Conclusion

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

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Which expression represents the area (in square units) of the triangle shown?
$\begin{array}{l} A . 32 x + 48 B . 16 x + 24 \\ C . 4 x + 14 D . 32 x + 6 \end{array}$

Short Answer

Step by step solution

Step-1-Formula for area of triangle

Step-2-Substituting given values

Step-3-Conclusion

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Which expression represents the area (in square units) of the triangle shown?A. 32x+48 B. 16x+24C. 4x+14 D. 32x+6

Short Answer

Step by step solution

Step-1-Formula for area of triangle

Step-2-Substituting given values

Step-3-Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Pure Maths

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Which expression represents the area (in square units) of the triangle shown?
$\begin{array}{l} A . 32 x + 48 B . 16 x + 24 \\ C . 4 x + 14 D . 32 x + 6 \end{array}$