65nibblets 65nibblets
  • 03-04-2020
  • Mathematics
contestada

The perimeter of a rectangular shop in the mall is 34 m the area is 70 m² what are the dimensions of the shop

Respuesta :

samirmahmutovic samirmahmutovic
  • 03-04-2020

Answer:7 x 10

1) Can be done by trail and error

Or

2) setting and slowing two equations

Step-by-step explanation:

If a and b are sides of rectangle

(1). 2a + 2b = 34

(2). ab = 70

From 1

a= 17-b

Substitute above a to (2)

(17-b)b = 70

17b - b^2 = 70

-b^2 + 17b -70 = 0

Multiple above by -1

b^2 - 17b + 70 = 0

Solving quadratic equation by factorising

(b-7)(b-10)=0

b=7 or b=10

If b= 7. a =10

If b=10. a=7

Answer Link

Otras preguntas

We elect a U.S. Representative for how many years?
A staple is made from 40mm of wire. How many staples can be made from 10meters of wire?
The excitation of an electron on the surface of a photocell required 5.0 x 10 –27 J of energy. Calculate the wavelength of light that was needed to excite the e
During the Cold War, what was the main concern of the United States?
The accepted value for the percent by mass of water in a hydrate is 36.0%. In a laboratory activity, a student determined the percent by mass of water in the hy
True or False? The segments below could form a triangle. A________C is 9 C_____B is 4 B_______________A is 15
What is the capital of the United States?
We elect a President for how many years?
What does the President’s Cabinet do?
Compared to the charge of a proton, the charge of all electron has (1) a greater magnitude and the same sign (2) a greater magnitude and the opposite sign (3)