82.3k views
3 votes
A designer makes a model of a patio using 1/2 inch square tiles each 1/2 inch square tiles = 4 square feet what area is represented by the 8 x 6 model

User IMJS
by
6.4k points

1 Answer

4 votes

Answer:


192ft^2

Explanation:

The model of a patio was made by

using 1/2 inch square title=4 square feet.

area represented by the 8 *6 model can be calculated as follows;

FIRSTLY, the number of tiles in the 8 *6 model can be calculated by multiplying it i.e

8 *6 model =
48 tiles

Hence there are 48 tiles in 8 *6 model

It was given that 1/2 inch square title=4

square feet.

So to calculate the total Area occupied by the 48 tiles


Area=1/2×48


Area=24inches^2

If
1/2inches^2=4ft^2 ( from the question)

Let X represent
24inches^2

Then,
24inches^2=Xft^2

Cross multiply


4×24=X×1/2</p><p></p><p>X=4×24×2</p><p></p><p>X=[tex]192ft^2


24inches^2=[tex]192ft^2

Therefore, the area represented by the 8 *6 model is
192ft^2

User Richard Jessop
by
6.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.