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

What is a function, What is a Function, Anyway? Domain? Range? Next tim...

What is a Function, Anyway? Domain? Range? Next time you're at a fast-food restaurant, take a look at the price list. It may look something like this: • Hamburger.............

..compound intrest, tell me about the software of compound intrest?

tell me about the software of compound intrest?

Simple harmonic motion, prove that the composition of two simple harmonic o...

prove that the composition of two simple harmonic of the same period and in the same straight line is also a simple harmonic motion of the same period.

Changing the base of the index, Changing The Base Of The Index For com...

Changing The Base Of The Index For comparison reasons if two series have different base years, this is difficult to compare them directly. In such cases, it is essential to ch

Permatuation and combination problem, A student is allowed to select at mos...

A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution

Definition of a function, A function is a relation for which each of the va...

A function is a relation for which each of the value from the set the first components of the ordered pairs is related with exactly one value from the set of second components of t

Math, Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) quest...

Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) question..

Find out the volume of the solid -x = (y - 2)2, Find out the volume of th...

Find out the volume of the solid obtained by rotating the region bounded by x =  (y - 2) 2 and  y = x around the line y = -1. Solution : We have to first get the intersection

How many inches is the smaller dimension of the decreased, A photographer d...

A photographer decides to decrease a picture she took in sequence to fit it within a certain frame. She requires the picture to be one-third of the area of the original. If the ori

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