a scale drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 280 yards long. whats the area of the actual park, in square yards?

Respuesta :

Answer:

Area of the actual park is 56000 square yards.

Step-by-step explanation:

A scale drawing of a rectangular park has dimensions as 5 inches width and 7 inches length.

Actual length of the park has been given as 280 yards.

So scale factor used in the drawing is 7 inches = 280 yards

Or 1 inch = 40 yards

Since width of the rectangular park is = 5 inch  

So actual width of the park will be = 5×40 = 200 yards

Now we can calculate the area of the park.

Actual area of the park = Length × Width

= 280×200

= 56000 yards²

Therefore, area of the actual park is 56000 square yards.

The actual area of the park in square yards from the given scale is;

Actual area of park = 56000 yds²

We are told that;

There is a scale drawing of a rectangular park with dimensions;

Width = 5 inches

Length = 7 inches

Now, we are told that the Actual length of the park is 280 yards.

Since the length on the scale drawing is 7 inches, then it means that;

7 inches represents 280 yards

Thus, 1 inch will represent; 280/7 = 40 yards

Thus, actual width = 5 × 40

Actual width = 200 yards

Formula for area of rectangle is;

Area of rectangle = Length × width

Thus;

Actual area of rectangle = actual length × actual width

Actual area of rectangle = 280 × 200

Actual area of rectangle = 56000 yds²

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