contestada

The area of a rectangle is 52 inches if the length is two times the width find the dimensions of the rectangle round off your answer to the nearest hundredth

Respuesta :

joshuaabraham



A=52in
Length= 2x
Width=x

Length(Width)= Area

2x^2=52
Divide both side by two
x^2=26
Sqrt both side
x=+ or - sqrt(26)

Length=2(sqrt(26)=2sqrt(26) or 10.20

Width=sqrt(26) or 5.20
lanjo64

Answer:

about 5.10 by 10.20 inches

Step-by-step explanation:

You can substitute the width for "x"

This would make the length 2x as it is two times the width

Area in a rectangle is Length times Width, so in this case it would be 2x * x

It gives you the area as 52 inches, so you can substitute this in the equation making it 52 = 2x^2

divide by two on both sides: 26 = x^2

take the square root of both sides, and x is 5.0999

Now to find the length, just double it, which rounds out to 10.20

5.0999 rounds to the hundredth as 5.10

so for dimensions you have 5.10 by 10.20

Otras preguntas