Question

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

Answer 1

The Area of larger square of side S = 79.84 ft²

Explanation:

Given as ,

The side of small square s1 = 8 feet 5' = 8 feet + (
`(5)/(12)` 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