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iris [78.8K]
4 years ago
8

A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the w

idth (x) of the frame?
A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch

Mathematics
1 answer:
mina [271]4 years ago
3 0

Answer:

Half an inch

Step-by-step explanation:

Perimeter of the frame = 28 inches

Length fo the frame = 7 + x + x = (7 + 2x) inches

Width of the frame = 5 + x + x = (5 + 2x) inches

Perimeter of a rectangle is given as: 2(length) + 2(width)

Therefore:

28 = 2(7 + 2x) + 2(5 + 2x)

Solve for x

28 = 2*7 + 2*2x + 2*5 + 2*2x

28 = 14 + 4x + 10 + 4x

Collect like terms

28 = 14 + 10 + 4x + 4x

28 = 24 + 8x

Subtract 24 from both sides

28 - 24 = 24 + 8x - 24

4 = 8x

Divide both sides by 8

4/8 = 8x/8

½ = x

Width of the frame = x = ½ of an inch

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