Mathematics: Laura s yard is in the shape of a square and a half-circle.17 mimate area of laura s yard? what is the approw316 m402 m516 m743 m

10560 feet Step-by-step explanation:multiply the length value by 5280...

Laura s yard is in the shape of a square and - id4616044, aspenbaxter201634

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15.01.2022

Option 2 - 402 m sq.

Step-by-step explanation:

Given : Laura's yard is in the shape of a square and a half-circle.

To find : What is the approximate area of Laura's yard?

Solution :

The side of the square is 17 m

The area of the square is A_s=s^2

A_s=17^2

A_s=289m^2

The half circle form upon a square side.

So, The diameter of the half circle is equal to the side of the square.

d=17 m

Radius of the half circle is $r=\frac{17}{2}$

The area of the half circle is $A=\frac{1}{2} \pi r^2$

Substitute the value in the formula,

$A_c=\frac{1}{2}\times \frac{22}{7}\times(\frac{17}{2})^2$

$A_c=\frac{22\times 17\times 17}{2\times 7\times 2\times 2}$

$A_c=\frac{6358}{56}$

A_c=113.53m^2

Total area of the Laura's yard is

A=A_s+A_c

A=289+113.53

A=402.53m^2

Approximately the area of the Laura's yard is 402 m sq.

Therefore, Option 2 is correct.

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