Question

a rectangle has length which is 5 cm less than twice its breadth. if the length is decreased by 5 cm and breadth is increased by 2 cm, the perimeter of the resulting rectangle will be 74cm . find the length and breadth of the original rectangle.​

Answer 1

Answer:

37CM

Step-by-step explanation:

L=5CM

B=(5-2)=3

PERIMETER OF THE RECTANGLE 2(L+B)

=74=2(L+B)÷2

=74=2(5-3)÷2

=74=2(3)÷2

=74÷3

=37CM

Answer 2

Answer:

• let the length of the rectangle be x cm
• let the breadth of the rectangle be y cm
• X=2y-5(equation 1)
• x'=x-5
• y'=y+2
• perimeter= 2(l+b)
• 2(x-5+y+2)=74
• x+y-3=37
• x+y=40
• 2y-5+y=40
• 3y=45
• y=15
• x=2(15)-5
• x=30-5=25
• Therefore, length=25cm and breadth=15cm