A picture frame is 20cm x 16cm. There is 192cm squared of picture showing. Find the width of the frame.
Hmmmm.
Well if the width subtracts from the original dimensions,
then
(20-2w)(16-2w)=192
solve for w.
inside the perenthesis you have to subtract 2 from 20 you should get 18 and if you subtract 2 from 16 you should get 14.multiply 18x14 and you should get 192 and that's how you check your answer.
To find the width of the frame, we need to subtract the dimensions of the picture from the dimensions of the frame.
Given:
Length of the frame = 20 cm
Width of the frame = 16 cm
Area of the picture = 192 cm²
To find the area of the frame, we can use the formula:
Area of the frame = Length × Width
We can subtract the area of the picture from the area of the frame to find the area of the actual frame.
Area of the frame = (20 cm × 16 cm) - 192 cm²
Next, we can find the dimensions of the frame using the area we just calculated.
Area of the frame = Length × Width
(20 cm × 16 cm) - 192 cm² = Length × Width
Now, we can solve for the width of the frame.
Width of the frame = Area of the frame / Length
Substituting the values we have:
Width of the frame = (20 cm × 16 cm - 192 cm²) / 20 cm
Calculating this expression will give us the width of the frame.
To find the width of the frame, we need to subtract the area of the picture showing from the total area of the frame.
The total area of the frame can be found by multiplying the length and width of the frame. In this case, the length is 20cm and the width is what we are trying to find. We'll denote the width with the variable 'w'. So, the total area of the frame is 20cm * w.
Similarly, we can find the area of the picture showing. Given that the area of the picture showing is 192cm², we can equate this to the length of the picture multiplied by the width of the picture. In this case, the length of the picture is 16cm and the width is also what we are trying to find. So, the area of the picture showing is 16cm * w.
Now, we'll set up the equation:
20cm * w - 16cm * w = 192cm²
We can simplify this as:
(20 - 16)cm * w = 192cm²
4cm * w = 192cm²
Now, we can solve for 'w' by dividing both sides of the equation by 4cm:
w = 192cm² / 4cm
w = 48cm
Therefore, the width of the frame is 48cm.