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

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