A civil engineer creates a scale model of a rectangular park. The model has a width of 8 cm and covers an area of 96 square cm. The actual park is designed to have a width of 72 meters. How many square meters is the actual park?

The actual park has 0.7776 square meters

Step-by-step explanation:

To solve this we first have to find the value of the scale

We know that the width of the model is 8cm and that of the true park is 72cm², so if we divide 72 by 8 we will obtain the value of the scale

72 / 8 = 9

To find out how much the park area has, the park first we have to multiply 96cm² by the scale

As the scale of 9 is made for width and length, when we calculate the area it will be multiplied 2 times by 9, so to calculate the real area we have to multiply it 2 times

96cm² * 9 * 9 = 7776cm²

if we want the result in square meters we simply have to divide the result by 100²

7776cm²/100² = 7776cm² / 10,000

0.7776m²

The actual park has 0.7776 square meters