Is the sum of the areas of two smaller squares equal to the area of a large square if the sidelines of the squares are 8 feet 5' and 3 feet note that the area of a square is s2 where s is the side length explain

The Area of larger square of side S = 79.84 ft²

Step-by-step explanation:

Given as ,

The side of small square s1 = 8 feet 5' = 8 feet + ( feet

Or,                                     s1 = 8.4167 feet

So, the area of small square of side s1 = ( 8.4167 )² = 70.84 ft²

Again , The side of small square s2 =3 feet

So , the area of small square of side s2 = 3² = 9 ft²

According to question ,

The area of large square ( S ) = s1² + s2²

Or,                                        S   = 70.84 + 9

I.e                                         S   =  79.84 ft²

Hence the Area of larger square = 79.84 ft²      Answer

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b is the correct answer