what problem the the length and breadth of a rectangular are in the ratio 5 :7 its perimeter is 120 cm find its area
Answers
Answer:
875 cm²
Step-by-step explanation:
1- let the breadth be 5x
the length be 7x
As the ratio between them is 5:7
2- The perimeter = 120 cm
So, 2(5x+7x) = 120
10x + 14x = 120
24x = 120
x = 120/24
x= 5
3- length =7x = 7*5 = 35 cm
breadth= 5x =5*5 = 25 cm
4- So, the area = l*b = 35*25 = 875 cm²
ANSWER :–
Area = 875 cm²
EXPLANATION :–
GIVEN :–
The length and breadth of a rectangular are in the ratio 5 : 7 and perimeter is 120 cm.
TO FIND :–
Area of rectangular shape.
SOLUTION :–
● Length and breadth are in 5 : 7 . So that -
=> Length = 5x and breadth = 7x
● According to the question –
=> Perimeter = 2 (Length + breadth)
=> 120 = 2(5x + 7x)
=> 120 = 2(12x)
=> x = 5
● So that –
=> Length = 25 cm
=> Breadth = 35 cm
● Now Let's find area –
=> Area = length × breadth
=> Area = 25 × 35
=> Area = 875 cm²