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A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of picture shows.fine the width of the frame around the picture

Sagot :

If the value of x is 4 cm. Then the width of the frame will be 12 cm.

What is the area of the rectangle?

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of the picture shows.

Let x be the increase in length and width. Then we have

      (16 - x)(30 - x) = 312

     x² - 46x + 480 = 312

      x² - 46x + 168 = 0

x² - 42x - 4x + 168 = 0

         (x - 42)(x - 4) = 0

                            x = 42, 4

The value of x can be more than 16. Then the value of x will be 4.

Then the width of the frame will be

W = 16 - x

W = 16 - 4

W = 12 cm

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ1

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