Can someone help me with this question please?

Mathematics

1 answer:

Anna71 [15]3 years ago

8 0

Answer:

36 ft²

Step-by-step explanation:

If BE = 3√2 ft, then the diagonal BD is 6√2 ft. The area of the square (as with any rhombus) is half the product of the diagonals. Since both diagonals are the same length, the area of the square is ...

area = 1/2·(6√2 ft)² = 36 ft²

The area of the square is 36 square feet.

_____

You may be expected to find the length of one side of the square using the Pythagorean theorem.

AB² = AE² + EB² . . . . . = the area of the square

AB² = (3√2 ft)² +(3√2 ft)² = 18 ft² + 18 ft²

AB² = 36 ft² . . . . . . . . . the area of the square

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