john is building a soccer table and wants it to be similar in size to a real soccer field. a full size soccer field is 336 feet long and 210 feet wide. what will be the area of his soccer table if he wants it to be 2.5 feet wide?

Respuesta :

336/210 = x/ 2.5 ...
.
x = 4..

Answer:

[tex]10 ft^2[/tex]

Step-by-step explanation:

We are given that

Length of soccer field=336 feet

Width of soccer field=210 ft

Width of soccer table=2.5 feet

We have to find the area of soccer table which is similar to soccer field in size.

Let x be the length of soccer table.

We know that when two figures are similar then ratio of their corresponding sides are equal.

[tex]\frac{336}{x}=\frac{210}{2.5}[/tex]

[tex]x=\frac{336\times 2.5}{210}=4[/tex]

Length of soccer table=4 ft

Area of soccer table=[tex]length\times breadth[/tex]

Area of soccer table=[tex]4\times 2.5=10 ft^2[/tex]

Hence , the area of soccer table=[tex]10 ft^2[/tex]

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