Hello! The area of square KLMN is 25 cm²
Make sure to read an explanation for better understanding to the problem.
Any questions about my answer and explanation can be asked through comments.
Step-by-step explanation:
Since the square has same length for both sides. We can proceed side × side formula. Our side is 5 because if we count these small squares or grids, we'd get 5 for both sides.
Therefore 5 × 5 = 5² = 25 cm².
We can also use Calculus to solve the problem by using Integration.
Because both lines are horizontal, they are constant function. That means they are in the form of y = b where b is a constant.
A line that passes through (a,4) where a is all real numbers. The equation is y = 4
A line that passes through (c,-1) where c is all real numbers. The equation is y = -1
Therefore,
[tex] \large{ \int^{b}_a f(x) dx+ \int^{b}_a g(x)dx} \\ \large{ \int^{2}_{ - 3} (4)dx+ \int^{2}_{ - 3} ( - 1)dx}[/tex]
Because y = -1 is below x-axis. Therefore,
[tex] \large{ \int^{2}_{ - 3} 4 dx+ \int^{2}_{ - 3} 1dx} \\ \large{ (4x)^{2}_{ - 3} + (x)^{2}_{ - 3} } \\ \large{8 - ( - 12) + 2 - ( - 3)} \\ \large{8 + 12 + 2 + 3 = 25}[/tex]
