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The area of a parallelogram on the map is 5cm*2. What is the area of the actual parallelogram? Explain why you can find the area without knowing the dimensions of the parallelogram. (each cm represents 50m)

Respuesta :

Step-by-step explanation:

Area=5×50m

=250m²/25000cm²

since they gave us the area of a parallelogram on a map and a scale there's no need to know the dimensions.

I'm not sure but I hope it helps

The area of the actual parallelogram is 12500 [tex]m^{2}[/tex].

We can find the area of the actual parallelogram without knowing the dimensions of the parallelogram because we are given that 1 cm in the map represents 50 m in the actual parallelogram.

Given,

The area of a parallelogram on the map = 5 [tex]cm^{2}[/tex].

Each cm represents 50m.

We need to find the area of an actual parallelogram.

What is a parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides.

The opposite sides and opposite angles are equal.

Area of a parallelogram :

A = b x h.

Where b = base and h = height.

We are given the area of the parallelogram on a map so this is not the actual parallelogram.

We can find the actual parallelogram by converting the cm into the actual units.

We are given that 1 cm = 50 m.

We need to change the cm unit into m (meter) unit.

Area of actual parallelogram :

5 [tex]cm^{2}[/tex]

= 5  x  [tex](50m)^{2}[/tex]

= 5 x 50 x 50 x [tex]m^{2}[/tex]

= 12500 [tex]m^{2}[/tex]

Thus the actual area of a parallelogram is 12500 [tex]m^{2}[/tex].

We are able to find the actual area of a parallelogram without knowing the dimensions of the parallelogram because we are given the actual unit measurement i.e 1 cm in map = 50 m in the actual parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/1563728

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