3(squared)+4(squared)=r(squared)
2 answers:
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Answered by : ❝ AǫᴜᴀWɪᴢ ❞
<u>Given</u>:
The length of the side of the metal is x + 7.
The length of the side of the hole is x - 2.
We need to determine the area of the metal part or the shaded region.
<u>Area of the metal:</u>
The area of the metal can be determined using the formula,
Substituting s = x + 7, we get;
Thus, the area of the metal is square units.
<u>Area of the hole:</u>
The area of the hole can be determined using the formula,
Substituting s = x -2 ,we get;
Thus, the area of the hole is square units.
<u>Area of the shaded region:</u>
The area of the shaded region can be determined by subtracting the area of the hole from the area of the metal.
Thus, we have;
Area = Area of the metal - Area of the hole
Substituting the values, we have;
Simplifying, we have;
Thus, the area of the shaded region is (18x + 45) square units.