one rectangle with one side AB =6cm and other side BC= 4.3 cm
find it's area
and perimeter and length of ac
Answers
Answer:
Ad=4.3cm
DC=6cm
area=25. 8
perimeter=20.6
Step-by-step explanation:
In a rectangle opposite sides are congruent and parallel so AD=BC and DC = AB
Question :-
One rectangle with one side AB =6cm and other side BC= 4.3 cm. Find it's area and perimeter and length of AC.
Answer :-
Given:
- Length of rectangle = 6 cm
- Breadth of rectangle = 4.3 cm
To find:
- Area of rectangle
- Perimeter of Rectangle
- Length of Diagonal AC
Required Formulae:
- Area = length × breadth
- Perimeter = 2 × (l + b)
- (hypo)² = (1st side)² + (2nd side)²
Solution:
Area-
Area of rectangle = l × b
= 6 × 4.3
= 25.8 cm²
Perimeter-
Perimeter of rectangle = 2 × (l + b)
= 2 × (6 + 4.3)
= 2 × 10.3
= 20.6 cm
Length of Diagonal AC-
(In the figure, we can take ABC as a triangle and AC as its hypotenuse and then through Pythagoras Theorem, we can take out the length of AC)
(hypo)² = (1st side)² + (2nd side)²
(AC)² = (AB)² + (BC)²
(AC)² = (6)² + (4.3)²
(AC)² = 36 + 18.49
AC = √54.49
AC = 7.381 cm
_______________________________
Hence, Perimeter = 20.06 cm
Area = 25.08 cm²
Diagonal AC = 7.381 cm