A rectangle's length and width are in a ratio of 7:3. The area is 84 square feet. What are the
length and width?
length =
feet
width =
feet

Respuesta :

9514 1404 393

Answer:

  • length: 14 ft
  • width: 6 ft

Step-by-step explanation:

Let 7x represent the length. Then 3x will represent the width, and the area will be ...

  A = LW = (7x)(3x) = 21x² = 84 ft²

Dividing by 21 gives ...

  x² = 4 ft²

Taking the square root, we have ...

  x = 2 ft

So, the length and width are ...

  length = 7·2 ft = 14 ft

  width = 3·2 ft = 6 ft