find the perimeter of a rectangle whose one side measures 20m and the diagonal is 29m
answer it quick and no spamming or you'll regret it
Answers
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Let the length (AB) be xm.
Breadth
(BC) = 20m. (Given)
Diagonal (AC) = 29m (given)
(29)^2 = (x)^2 + (20)^2
ATQ
(AC)^2 = (AB)^2 + (BC)^2
841 = x^2 + 400
841 - 400 = x^2
V441 = x
21 = x
Hence length of the rectangle be 21m.
Perimeter of rectangle = 2(1 + b)
= 2(20 + 21)
= 2*41
= 81m
Answer :
›»› The perimeter of a rectangle is 82 m.
Given :
- Breadth of a rectangle = 20 m.
- Diagonal of a rectangle = 29 m.
To Find :
- Perimeter of a rectangle = ?
Solution :
Let us assume that, the length of a rectangle is "x m".
From pythagorean theorem
→ (Diagonal)² = (Length)² + (Breadth)²
→ (d)² = (x)² + (b)²
→ (29)² = x² + (20)²
→ 841 = x² + (20)²
→ 841 = x² + 400
→ x² = 841 - 400
→ x² = 441
→ x = √441
→ x = 21
The length of a rectangle is 21 m.
Now,
As we know that
→ Perimeter of rectangle = 2(length * breadth)
→ Perimeter of rectangle = 2(21 + 20)
→ Perimeter of rectangle = (2 * 21) + (2 * 20)
→ Perimeter of rectangle = 42 + (2 * 20)
→ Perimeter of rectangle = 42 + 40
→ Perimeter of rectangle = 82