Question

A square solar collector measures 6.00 m by 6.00 m and another square solar collector measures 8.000 m by 8.000 m. using the correct number of significant figures, what is the combined area of both collectors?

Answer 1

To calculate the area of a square, we have to multiply the length of a side by itself.
So, for the first collector, the area is 6 x 6 = 36 square metres
And the second collector has an area of 8 x 8 = 64 square metres

So, the total area is 36 + 64 = 100 square metres.

Now, we have to determine the number of significant figures. When processing data, we use the lowest number of significant figures present in the data. In this example, one piece of data has 3 sig. figs and the other has 4. Since the lowest number of sig figs is 3, we should use 3

So, the final answer is a 100 square metres. (100 is to 3 sig figs)

Hope I helped! xx

Answer 2

`100.000000 m^2` is the combined area of both collectors.

Step-by-step explanation:

A length of square solar collector-1= a =6.00 m

Area of square solar collector-1 = A = a × a

`A'= 6.00m * 6.00=36.0000 m^2`

A length of square solar collector-2= a' =8.000 m

Area of square solar collector-1 = A' = a' × a'

`A'= 8.000m * 8.000=64.000000 m^2`

Combined area of both solar collectors: A+ A'

=
`36.0000 m^2+64.000000 m^2=100.000000 m^2`

`100.000000 m^2` is the combined area of both collectors.