Question

Possible answers: A) 336cm B) 110m C) 588m D) 1,029m

Answer 1

Answer:

$\huge\boxed{D)\ 1,029\ m^2}$

Step-by-step explanation:

$\begin{array}{ccc}4cm&\to&7m\\^{\times7}&&^{\times7}\\28cm&\to&49m\end{array}\\\\\\\begin{array}{ccc}4cm&\to&7m\\^{\times3}&&^{\times3}\\12cm&\to&21m\end{array}$

$\text{The formula of an area of a rectangle}\ l\times w:\\\\A=l\cdot w\\\\\text{Substitute}\ l=49m,\ w=21m\\\\A=(49)(21)=1,029\ m^2$

Answer 2

Answer: The area of the enclosure is 1,029 square meters

Step-by-step explanation: The first thing is to use the unit of measurement required by the question, and to do this we need to convert what we have to what is required.

If the scale of the diagram is given as every 4cm represents 7m, that means, every unit of the actual measurement would be given as

(X/4) x 7

For the length of the enclosure, we can determine that as follows;

Length = (28/4) x 7

Length = 7 x 7

Length = 49m

And for the width,

Width = (12/4) x 7

Width = 3 x 7

Width = 21m

Therefore, the area is calculated as,

Area = L x W

Area = 49 x 21

Area = 1029 m²