Answer:
625 square feet
Step-by-step explanation:
The length of the fence is its area divided by its height:
A = LW
500 ft² = L(5 ft)
(500 ft²)/(5 ft) = 100 ft = L
This encloses a square, so the side of the square is 1/4 of this length:
side = (100 ft)/4 = 25 ft
The yard's area is the square of the length of its side dimension:
yard area = (25 ft)² = 625 ft²
The area of the yard inside the fence is 625 square feet.
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Comment on units
If you keep units with numbers, you know that dividing 500 ft² by 5 ft will give a measure of 100 ft. This is a linear measure, not an area measure, so tells you that this is not the answer to the question of yard area.
