15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.

45 and 5 are the dimensions of the block of land.

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.