7. The perimeter of a rectangle is 120 cm. The ratio of its length and width is 2:1.
Find the area of rectangle.
(a) 600 sq.cm. b) 800 sq. cm.
(c) 850 sa. cm.
Answers
Answered by
9
Given :
- Perimeter of rectangle = 120cm
- Length : Width = 2:1
To find :
Area of rectangle
Formula used :
- Perimeter of rectangle = 2(l+w)
- Area of rectangle = l × w
Here,
l = length of rectangle
w = Width of rectangle
Solution :
Length : width = 2:1
Let , common factor of length and width = x
Therefore,
- length = 2x
- Width = x
Now ,
perimeter of rectangle = 2(2x + x)
➝ 120cm = 2(3x)
➝ 120 cm = 6x
➝ x = 120 cm/6
➝ x = 20cm
_______________________________________________
Therefore,
- Length = 2x = 2×20 cm
➝ Length = 40cm
- Width = x
➝ Width = 20cm
_______________________________________________
Area of rectangle = length × Width
➝ Area of rectangle = 40cm × 20cm
➝ Area of rectangle = 800 cm²
_______________________________________________
ANSWER:
Option (b) 800 cm²
Answered by
5
Answer:
Option B is Correct Plz Mark My answer as branily dear mate ❤ ❤
Similar questions