Question

The area of the triangle bounded by the lines $x = 4$, $y = -4$ and $y = x$ is

• A. 28
• B. 42
• C. 24
• D. 32
• E. 40

Hint:

When the triangle has a vertical or horizontal side, you can also use $\text{Area} = \dfrac{1}{2} \times \text{base} \times \text{height}$. Here base $= 8$ (from $y=-4$ to $y=4$) and height $= 8$ (from $x=-4$ to $x=4$), giving $\dfrac{1}{2}\times 8\times 8 = 32$.

Answer 1

The Correct Option is D