Question

the area of rhombus shaped playground is 21600m². when Rohan walks through the larger diagonal then he has to walk 240m. calculate the total distance covered by Rohan if he walks through the boundary of the given field.
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Answer 1

$\huge \bf \color{green} \mathfrak{Question : - }$

The area of rhombus shaped playground is 21600m². when Rohan walks through the larger diagonal then he has to walk 240m. calculate the total distance covered by Rohan if he walks through the boundary of the given field.

$\huge \bf \color{blue} \mathfrak{Solution : - }$

Diagonal 1 = 240m •••(Given)

The Area of Rhombus = 21600m² •••(Given)

The Area of Rhombus = 21600m²

→ ½ × Diagonal 1 × Diagonal 2 = 21600m²

→ ½ × 240m × Diagonal 2 = 21600m²

→ 120m × Diagonal 2 = 21600m²

→ Diagonal 2 = 21600m²/120m

→ Diagonal 2 = 180m

Pythagoras Theorem

P² = B² + H²

→ AD² = AO² + OD²

→ AD² = (240m/2)² + (180m/2)²

→ AD² = (120m)² + (90m)²

→ AD² = 14400m² + 8100m²

→ AD² = 22500m²

→ AD² = (150m)²

→ AD = 150m

AB = BC = CD = AD = 150m

Perimeter of Rhombus = 4 × Side

→ Perimeter of Rhombus = 4 × 150m

→ Perimeter of Rhombus = 600m

$\huge \bf \color{orange} \mathfrak{Answer : - }$

600m covered by Rohan if he walks through the boundary of the given field.

Answer 2

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