Respuesta :
Given is :
The area of the deck will be = 64 square feet.
As, it is not mentioned if the deck is a rectangle or a square, so we can assume it can be both,
For square it will be.
Area = side * side
Let the side be = x
[tex]x*x=64[/tex]
[tex]x^{2}=64[/tex]
[tex]x=\sqrt{64}=8[/tex]
So, side of the deck will be 8 feet.
For rectangle it will be.
As the dimensions are not given, we can find them by finding the multiples of 64.
The multiples are : 1.2,4,8,16,32
So to make 64, the possible combination can be either 2*32 or 4*16
Hence. if the deck is rectangular, so one set of length can be 16 feet and 32 feet. And set of width can be 4 feet and 2 feet.
The length and width of the deck can be 8 feet and 8 feet.
Area
Area is the amount of space that is occupied by a two dimensional shape or figure.
The area of a rectangle is given by:
Area = length * width
Assuming that the deck has the shape of a square. Hence:
64 = length * length
Length = 8 feet
The length and width of the deck can be 8 feet and 8 feet.
Find out more on Area at: https://brainly.com/question/25292087