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

Indefinite integrals, Indefinite Integrals : In the past two chapters we'v...

Indefinite Integrals : In the past two chapters we've been given a function, f ( x ) , and asking what the derivative of this function was.  Beginning with this section we are now

Systems of linear equation, a man can row a bangka at a rate of 5 km/h in s...

a man can row a bangka at a rate of 5 km/h in still water. It takes 10 minutes longer to row upstream a distance of 2km than he takes to row downstream. What is the rate of the cur

Euler equations, Euler Equations - Series Solutions to Differential Equ...

Euler Equations - Series Solutions to Differential Equations In this section we require to look for solutions to, ax 2 y′′ + bxy′ + cy = 0 around x0  = 0. These ki

Time series and analysis, Time Series and Analysis It is the statistic...

Time Series and Analysis It is the statistical or mathematical analysis on past data arranged in a periodic sequence. Decision making and planning in an organization includes

Find poq of tangents drawn to the circle, In figure, O is the centre of th...

In figure, O is the centre of the Circle .AP and AQ two tangents drawn to the circle. B is a point on the tangent QA and ∠ PAB = 125 ° , Find ∠ POQ. (Ans: 125 o ) An s:

Trigonmetry, How do I find a bearring using trig?

How do I find a bearring using trig?

Sketch the graph, Sketch the graph of                          y = ( x -...

Sketch the graph of                          y = ( x -1) 2  - 4 . Solution Now, it is a parabola .Though, we haven't gotten that far yet and thus we will have to select

Pre calc, - Find the total surface area of a frustum of a cone. (Include to...

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

Unconditional and conditional probability, Independent and Dependent Events...

Independent and Dependent Events Two events A and B are independent events if the occurrence of event A is in no way related to the occurrence or non-occurrence of event

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