Question

You are making a rectangular table. The area of the table should be 10
square feet. You want the length of the table to be 1 ft shorter than twice
its width. What should the dimensions of the table be? *​

Answer 1

Answer:

width= 5/2 length=4

Step-by-step explanation:

let the width be x ft.

then, length= 2x-1 ft.

area of rectangle= l*b

x(2x-1)=10

2x²-x=10

2x²-x-10=0

2x²-5x+4x-10=0

x(2x-5)+2(2x-5)=0

(2x-5)(x+2)=0

either x=5/2 or x = -2

since width of rectangle cannot be negative

therefore width of rectangle must be 5/2

and length= 2x-1= 2*5/2-1 = 4