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Rashid [163]
3 years ago
10

Can someone please help me find the area of this polygon, thank you!

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

<h2>270 ft²</h2>

Step-by-step explanation:

<h3>METHOD 1:</h3>

<em>Look at the picture</em>

We can divide a given polygon into three rectangles:

21ft\ \times\ 10ft,\ 4ft\ \times\ 6ft,\ 6ft\ \times\ 6ft

The formula of an area of a rectangle <em>l × w </em>:

A=l\cdot w

Calculate the area of ​​each of the rectangles:

A_1=(21)(10)=210\ ft^2\\\\A_2=(4)(6)=24\ ft^2\\\\A_3=(6)(6)=36\ ft^2

The area of the given polygon:

A=A_1+A_2+A_3\\\\A=210+24+36=270\ ft^2

<h3 /><h3>METHOD 2:</h3>

<em>Look at the second picture</em>.

We subtract the field of the smaller rectangle (<em>11ft × 6ft</em>) from the field of the large rectangle (<em>21ft × 16ft</em>):

A_S=(11)(6)=66\ ft^2\\\\A_L=(21)(16)=336\ ft^2\\\\A=A_L-A_S\to A=336-66=270\ ft^2

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