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

Wave through the origin always has a slope of one or not, Can you explain t...

Can you explain that a wave through the origin always has a slope of one or not?

#titldifference between cpm n pert operation research pdfe.., difference be...

difference between cpm n pert operation research pdfepted#

How many miles to the gallon does marci''s car get, Marci filled her car's ...

Marci filled her car's gas tank on Monday, and the odometer read 32,461.3 miles. On Friday while the car's odometer read 32,659.7 miles and she filled the car's tank again. It will

If tana+sina=m and tana-sina=n, If tanA+sinA=m and tanA-sinA=n, show that m...

If tanA+sinA=m and tanA-sinA=n, show that m 2 -n 2 = 4√mn Ans:    TanA + SinA = m       TanA - SinA = n. m 2 -n 2 =4√mn . m 2 -n 2 = (TanA + SinA) 2 -(TanA - SinA) 2

Pat, what is a fraction?

what is a fraction?

Volume and surface area, a conical hole drilled in a circular cylinder of h...

a conical hole drilled in a circular cylinder of height 12 and radius 5cm the height and radius of cone are also same find volume

Machines, descuss the seauencing problem for n jobs on two and three machin...

descuss the seauencing problem for n jobs on two and three machines

Basic mathematics, I need help with my homework, I am to the edge right now...

I need help with my homework, I am to the edge right now with this w=5pq/2

Pairs of straight lines, The equation ax2 + 2hxy + by2 =0 represents a pair...

The equation ax2 + 2hxy + by2 =0 represents a pair of straight lines passing through the origin and its angle is tan q = ±2root under h2-ab/(a+b) and even the eqn ax2+2hxy+by2+2gx+

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