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b)lets say the area of the map is 21 square inches. you want to make q enlarged map of central park to take with you on your journey. describe how you can determine the area of the the enlarged map.

c)supposed the scale factor you will use to enlarge the map is 5:1. what is the approximate area of the park of the park in your enlarged drawing.

d) how did you apply proportional reasoning as you worked through these problems?

Answer:

b)in order to do that you have to write out your problem using a proportional relationship. you start with picking out your scale factor and then you use that to calculate your enlargement. lets say your scale factor is 3:1.

3/1=x/21 x=63

c) 5/1=x/21 x=105       the appx. area of the park in the enlarged drawing will be 105ft sq

d)I identified the scale factor in each problem and then applied it to each of the separate situations in order to enlarge or reduce an amount/ image.

Step-by-step explanation:

The approximate area of the park of the park in your enlarged drawing is given by A = 105 inches²

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The area of the map = 21 inches²

And , the scale factor of proportion is 5 : 1

So , the area of the drawing is given by

A / 21 = 5 / 1

Multiply by 21 on both sides , we get

A = 105 inches²

Therefore , the value of A is 105 inches²

Hence , the area of the drawing is 105 inches²

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