If the total area of a picture measuring 10 inches by 12 inches plus a meeting of a uniform width surrounding the picture is 224 square inches, the width of the matting

The width of the matting is 4 inches.

Step-by-step explanation:

Since we are given the area of the picture including the frame we can use the formula for the Area of a rectangle to solve this problem.

since the picture frame has a uniform width we can use the variable x and plug in the values in the formula above. We then solve for x to find out the width of the matting.

.....use distributed multiplication

.... subtract 224 on both sides

Now we have a quadratic equation which we can use the quadratic formula to solve.

After Solving the Quadratic Equation we are given two values, but since our answer cannot be a negative, then the only valid answer is 4 in . So the width of the matting is 4 inches.

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for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation:

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