Answer:

3.21.82 cm by 29.82 cm

Step-by-step explanation:

In the given problem, remember that area is the total area that can occupy the flat surface of a shape. The formula for finding area of rectangle is A=lw, where l is the length and w is the width.

In the problem, the given area is 600 sq. cm (area of a picture, and the lenght of a picture frame is l=w+8. Take note: There is a boundery of 1cm in each side. Let's solve together!

A= lw (frame) 600=(l-1)(w-1) (area of picture)

If the length of a frame is w+8, therefore the equation for this is:

A= (l)(w)

A= (l-1)(w-1)

600= (w+8-1)(w-1)

600= (w+7)(w-1)

600= w^2 +6w -7

w^2 + 6w - 607

Using the formula for quadractic equation

where a= 1 b= 6 c= -607

first solution is

= 21.82 cm

second solution is

= - 27.82 cm

Use the positive solution for the width.

w= 21.82 cm

l= 21.82+8

l= 29.82 cm

Therefore, the dimension of the picture frame is 21.82 cm and 29.82 cm.

Learn more about finding area of rectangular shape, practice your skills here at brainly.ph/question/2372241