Question

PLZZ HELP find area of square KLMN?

Answer 1

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.

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,

`\large{ \int^(b)_a f(x) dx+ \int^(b)_a g(x)dx} \\ \large{ \int^(2)_( - 3) (4)dx+ \int^(2)_( - 3) ( - 1)dx}`

Because y = -1 is below x-axis. Therefore,

`\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}`