# Find the area and perimeter of a rectangle with a diagonal of 17 cm and a side of 15 cm.

In order to calculate the area and perimeter, you need to know both the length and the width of the rectangle. We know that the diagonal = 17, and the length = 15, we find the width from a right-angled triangle with hypotenuse 17 and leg 15:

15 ^ 2 + x ^ 2 = 17 ^ 2

x ^ 2 = 17 ^ 2-15 ^ 2

x ^ 2 = 289-225 = 64

x = 8

Now, knowing both the length and the width of the rectangle, we find the perimeter P and the area S:

P = 15 + 15 + 8 + 8 = 46cm

S = 15 * 8 = 90 cm ^ 2

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}