pc8r5kasy8 pc8r5kasy8
  • 15-01-2021
  • Mathematics
contestada

4. A rectangle with area 1,600 m2 is 4 times as long as it is wide. What is the sum of the diagonals?

Respuesta :

Dirtyfacebabyaj
Dirtyfacebabyaj Dirtyfacebabyaj
  • 15-01-2021

We need to write out algebraic equations to describe the information we have, then solve them using substitution.

We will define length as a and width as b.

we know that a x b = 1600 cm3  (area = length x width)

and a=4b

So, we can substitute the vaule 4b for a in the first equation:

4b x b = 1600  

we can simplify to 4b2 = 1600

divide both sides by 4:

b2 = 400

take the square root of each side:

b = √400

b=20

 

So we know the width = 20

length = 4  x width = 80

Answer Link

Otras preguntas

ECHOCARDIOGRAPHY AND ELECTROCARDIOGRAPHY MEANS WHAT IN XRAY
Convert the given radian measure to a degree measure. 1.1π
What were characteristics of early humans during the old Stone Age
Find the solution of y = –2x + 3 for x = 2.
Where was the first European civilization located? Germany Crete Italy Scandinavia These cities were part of the Roman Empire. Copenhagen Frankfurt London Pari
14. The oxygen your blood uses is introduced into the body by means of the a overload principle. c. diaphragn. b. respiratory system, d. lungs.
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0,0) (3,9)
K (3x - 2) = 4 - 6x Find the value of k
X=3y for y Solve the equation for the indicated variable
In 1985, President Reagan fired 11,400 firefighters for an illegal strike. Please select the best answer from the choices provided T F