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

Lonna's rectangle measures 2 1/4 units by 4 1/2 units. what is the area?
wich expression shows a way to factor 15+18
Why was there so much bloodshed in South Asia in the late 1940s, and how did the British government try to contain the violence?
Find the number if 2 1/2 of it is 15 (please help)
What is the value of x?
How does Anne respond to Gilbert's ridicule? A. She wants to be able to forgive and befriend him. B. She tries to hide her anger but seeks revenge. C. She ge
I need help with this ​
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the mass of the empty basket in kilo
Darin has clicked on the Outdoor Gear website. What should the marketing manager have already done to make sure the site works for Darin
What are the effects of new technology on the way the war was conducted?