One side of a rectangular field is 15 m and one of its diagonal is 17 m. find the area of the field.
Answers
Answered by
1
Answer:
Area of the rectangular field=L×B
=15×17
=255m2(take 2 as square unit)
Step-by-step explanation:
I hope it will help you!!!!
Answered by
23
Given :-
- One side of a rectangular field is 15m
- One of its diagonal is 17m
To Find :-
- Area of Field
Solution :-
❏ As we know that, Area of Rectangle is given by Length × Breadth. So, first we have to find the Breadth of the Rectangle.
➞ (Diagonal)² = (Length)² + (Breadth)²
➞ (17)² = (15)² + (Breadth)²
➞ 289 = 225 + (Breadth)²
➞ 289 - 225 = (Breadth)²
➞ 64 = (Breadth)²
➞ √64 = Breadth
➞ 8m = Breadth
________________
⟾ Area of Field = Length × Breadth
⟾ Area of Field = 15 × 8
⟾ Area of Field = 120m²
Thus Area of the Field = 120m²
________________
★ Additional Info :
Formulas Related to Rectangle :
- Perimeter of Rectangle = 2( l + b)
- Area = Length × Breadth
- Length = Area / Breadth
- Breadth = Area / Length
- Diagonal = √(l)² + (b)²
________________
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