The perimeter of a rectangle is 14 cm and its width is 3 cm. Find its length.
Answers
Step-by-step explanation:
Given:
The perimeter of a rectangle = 14 cm
Diagonal = 5 cm
Formula Used:
Perimeter of rectangle = 2(Length +
Area of rectangle = Length x Breadth (Diagonal)2 = (Length)2 + (Breadth)²
Calculation:
Perimeter of rectangle = 2(Length + Breadth)
→ 14 = 2(Length + Breadth)
7 (Length + Breadth)
----(1) (5)2 = (Length)2 + (Breadth)²
25 (Length)2 + (Breadth)2 =
----(2)
From equation (1) and equation (2)
25 (Length)² + (7 - Length)²
25= 12 +49-141 +1²
(1-3)(1-4)= 0
→ 1 = 3 cm
→ 1 = 4 cm
If length is 3 cm then breadth is 4 cm.
If breadth is 4 cm then the length is 3 cm.
Area of rectangle = Length x Breadth
:. Area of rectangle = 3 x 4 = 12 cm²
Answer:
4 cm
Step-by-step explanation:
Given that,
Perimeter of rectangle = 14cm
Width = 3 cm
Perimeter= 2×(l+b)
= 2×(l+b)= Perimeter
= 2×(l+3)=14
= (l+3)= 14÷2
= (l+3)=7
= l= 7-3
= l = 4 (Ans)
So length = 4 cm.
Hope this helps you.