Determine the length of the rectangle, Mathematics

Assignment Help:

The height of a rectangle is 20 cm. The diagonal is 8 cm more than the length. Determine the length of the rectangle.

a. 20

b. 23

c. 22

d. 21

d. To determine the length of the rectangle, we will use the Pythagorean theorem. The width, a, is 20. The diagonal, c, is x + 8. The length, b, is x; a2 + b2 = c2; 202 + x2 = (x + 8)2. After multiplying the two binomials (using FOIL), 400 + x2 = x2 + 16x + 64. Subtract x2 from both sides; 400 = 16x + 64. Subtract 64 from both sides; 336 = 16x. Divide both sides by 16; 21 = x. If you select a, you incorrectly calculated the diagonal to be 28.


Related Discussions:- Determine the length of the rectangle

Interpretation, Interpretation A high value of r as +0.9 or - 0...

Interpretation A high value of r as +0.9 or - 0.9 only shows a strong association among the two variables but doesn't imply that there is a causal relationship that is

External division of section formula, give me the derivation of external di...

give me the derivation of external division of sectional formula using vectors

MATLAB, program of curve revolve and create a surface

program of curve revolve and create a surface

Solution by factorization, Solution by Factorization, please solve quadrati...

Solution by Factorization, please solve quadratic equations by Factorization.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd