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Chapter 8: Q. 37 (page 541)

The dimensions of home plate at any major league baseball stadium are shown. Find the area of home plate.

Short Answer

Expert verified

The area of the baseball home plate is216.5in2

Step by step solution

01

Given information

We are given

02

We divide the image in two parts A triangle and a rectangle

We get,

03

Find the area of triangle

First we calculate

s=12(12+12+17)s=20.5

Now area of triangle can be given as

K=s(s-a)(s-b)(s-c)K=20.5(20.5-12)(20.5-12)(20.5-17)K=20.5(8.5)(8.5)(3.5)K=5183.9375K=72in2

04

Area of rectangle

We have

A=l×bA=8.5×17A=144.5in2

05

Find the area of the baseball plate

The area can be given as

Kb=K+AKb=72+144.5Kb=216.5in2

06

Conclusion

Area of the baseball plate is216.5in2

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