The perimeter of a rectangle is 130cm. If the breadth of the rectangle is 30cm, find its length. Also find the area of the rectangle.
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Answered by
2
Answer:
Length = 35cm, Area = 1050cm^2
Step-by-step explanation:
P = 2(l + b)
130 = 2l + 2*30
130 = 2l + 60
2l = 130 - 60
2l = 70
l = 70/2
l = 35
A = lb
A = 35*30
A = 1050
Answered by
15
Given :
- The perimeter of a rectangle is 130cm.
- The breadth of the rectangle is 30cm.
To Find :
- Length of rectangle = ?
- Area of the rectangle = ?
Solution :
❍ First of all we will find the length of rectangle :
- Let length of rectangle be 'l' cm.
- Perimeter of rectangle = 130 cm
- Breadth of rectangle = 30 cm
→ Perimeter of rectangle = 2(Length + Breadth)
→ 130 = 2(l + 30)
→ 130 = 2l + 60
→ 130 - 60 = 2l
→ 70 = 2l
→ l = 70 ÷ 2
→ l = 35 cm
- Hence,the length of rectangle is 35 cm.
❍ Verification ❍
᠉ 130 = 2(l + 30)
᠉ 130 = 2(35 + 30)
᠉ 130 = 2(65)
᠉ 130 = 130
᠉ LHS = RHS
Hence Verified !
❍ Now, Let's find the area of rectangle :
➻ Area of rectangle = Length × Breadth
➻ Area of rectangle = 35 × 30
➻ Area of rectangle = 1,050 cm²
- Hence,the area of rectangle is 1,050 cm².
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