The side or distance between consecutive/adjacent bases is:
x² + x² = 35²
2x² = 35²
[tex] \sqrt{2x^{2} } = \sqrt{(35) ^{2} } [/tex]
[tex] \frac{x \sqrt{2} }{ \sqrt{2} } = \frac{35}{ \sqrt{2} } * \frac{ \sqrt{2} }{ \sqrt{2} } [/tex]
[tex] x=\frac{35 \sqrt{2} }{2} [/tex] meter
The distance between adjacent bases is [tex] \frac{35 \sqrt{2} }{2} [/tex] meter
The area of the ball field is:
Area of Square = (side)²
Area = [tex] (\frac{35 \sqrt{2} }{2} meter)^{2} [/tex]
Area = [tex] \frac{(1,225)(2)}{4} meter^{2} [/tex]
Area = 612.5 m²
(Click image below for illustration and complete solution.)
