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tatyana61
1 month ago
9

A frame around a rectangular family portrait has a perimeter of 60 inches. The length is 15 inches less than 2 times the width.

Find the length and width of the frame
Mathematics
2 answers:
Zina [12.3K]1 month ago
5 0

Answer:

Step-by-step explanation:

Let x represent the width of the rectangular family portrait, which means its length can be described as 2x - 15.

Perimeter formula:-

P=2(l+w)=2(2x-15+x)\\\\\Rightarrow\ P=2(3x-15)=6x-30    (1)

Setting the perimeter of the frame equal to 60 inches, we substitute P=60 into (1), yielding

60=6x-30

By adding 30 to both sides, we get

6x=90

Dividing both sides by 6 gives us

x=15

as a result, Width = 15 inches

Additionally, Length = 2(15) - 15 = 15 inches.

Therefore, the dimensions of the frame are both 15 inches in length and width.

zzz [12.3K]1 month ago
5 0
2(2w-5) + 2w = 50

4w - 10 + 2w = 50

6w - 10 = 50

6w = 60

w = 10

The length is calculated as 2(10) - 5 = 20 - 5 = 15

I hope this is useful!!
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