Question

Jenny's room is 13 feet long and 12 feet wide. Ruth's room is 14 feet long and 11 feet wide. Whose room has the greater perimeter and greater area

Answer 1

Answer:

Given :-

Jenny's room is 13 feet long and 12 feet wide. Ruth's room is 14 feet long and 11 feet wide.

To Find :-

room has the greater perimeter and greater area

Solution :-

Perimeter of Jenny's Room = 2(l + b)

Perimeter = 2(13 + 12)

Perimeter = 2(25)

Perimeter = 50 m

Area of Jenny's Room = l × b

Area = 13 × 12

Area = 156 m²

Now

Perimeter of Ruth's Room = 2(l + b)

Perimeter = 2(14 + 11)

Perimeter = 2(25)

Perimeter = 50 m

Area of Ruth's Room = l × b

Area = 14 × 11

Area = 154 m²

Therefore,

• Perimeter are same
• Area of Jenny's Room is greater

Answer 2

Answer

• Length of Jenny's room, l = 13
• breadth of Jenny's room ,b = 12

• Area of Jenny's room = l × b

Substitute the value we get

$:\implies$ Area of Jenny's room = 13 × 12

$:\implies$ Area of Jenny's room = 156 feet square.

Now, Calculating the Perimeter of Jenny's Room.

• Perimeter of Jenny's room = 2(l+b)

Substitute the value we get

$:\implies$ Perimeter of Jenny's room =2(13+12)

$:\implies$ Perimeter of Jenny's room = 2(25)

$:\implies$ Perimeter of Jenny's room = 50 feet

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Now,

• Length of Ruth's room ,l = 14
• breadth of Ruth's room ,b = 11

• Area of Ruth's Room = l×b

$\longmapsto$ Area of Ruth's Room = 14×11

$\longmapsto$ Area of Ruth's Room =154 feet square

And , Perimeter of Ruth's Room

• Perimeter of Ruth's Room = 2(l+b)

$\longmapsto$ Perimeter of Ruth's Room =2(14+11)

$\longmapsto$ Perimeter of Ruth's Room = 2(25)

$\longmapsto$ Perimeter of Ruth's Room = 50 feet

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Hence, Jenny's room has greater area than Ruth's room.

Perimeter of both room is same .