Arectangular plot of land is 100 feet long and 50 feet wide. how long is the walkway along the diagonal? round to the nearest foot. a. 75 feet b. 87 feet c. 112 feet d. 150 feet

C. 112 feet

Step-by-step explanation:

The angles of a rectangle are all 90° so when a diagonal is made from corner to corner, two right triangles are formed where the length and width of the rectangle form the 'legs' of the triangle and diagonal forms the hypotenuse.  We can solve for the hypotenuse by using the Pythagorean Theorem which has the formula:

a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the hypotenuse (diagonal)

Using the dimensions given, we can plug them into the equation:

100² + 50² = c² or 10,000 + 2500 = c² or 12,500 = c²

Take the square root of both sides: √12,500 = √c² or c ≈ 112 feet

-10i^2-4i

step-by-step explanation:

evaluate for p=2,q=5i

(2−4)(2+5i)i

(2−4)(2+5i)i

=−10i2−4i