The length of a rectangle is 7cm more than twice the width. When just the width is tripled, the perimeter of the resulting recta

Question

3 years ago

14

ngle is 74cm. What are the original dimensions of the rectangle?

1 answer:

grin007 [14] · Answer 1 · 2022-05-05T04:12:48+03:00

Answer:

Length = 27cm

Width = 10cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

If the length of a rectangle is 7cm more than twice the width, then;

x = 2y + 7

Since P = 2(x+y)

P = 2(2y+7+y)

P = 2(3y+7)

P = 6y+14

If the width is tripled, P = 74

74 = 6y+14

6y = 74-14

6y = 60

y = 10

Since x = 2y+ 7

x = 2(10) + 7

x= 20+7

x = 27

Hence the original dimension is 27cm by 10cm