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MaKayla's square frame formula: A = s^2 - (s - 2w)^2

a) Explain each term in the formula.
b) Find the area of a frame with sides of 15 inches and a width of 2 inches.
c) Calculate the cost for a frame with sides of 18 inches and a width of 3 inches at 20 cents per square inch.

User Sydd
by
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1 Answer

5 votes

Final answer:

The formula for an area of a square frame is explained and applied to find the area and cost of frames with given dimensions and prices. The correct answer is option B .

Step-by-step explanation:

The formula for MaKayla's square frame is A = s2 - (s - 2w)2.

a) The term 'A' represents the area of the square frame.

The term 's' represents the length of the sides of the square.

The term 'w' represents the width of the frame.

b) To find the area of a frame with sides of 15 inches and a width of 2 inches, substitute these values into the formula:

A = 152 - (15 - 2(2))2

= 225 - (15 - 4)2

= 225 - 112

= 225 - 121

= 104 square inches

c) To calculate the cost for a frame with sides of 18 inches and a width of 3 inches, and a price of 20 cents per square inch:

A = 182 - (18 - 2(3))2

= 324 - (18 - 6)2

= 324 - 122

= 324 - 144

= 180 square inches

Cost = 180 * 0.20 = $36

User Pyetras
by
8.4k points
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