Jackson wants to paint a 3-foot border around the edge of the floor in his room. He drew this diagram to show how it should look.
What area of the floor will remain unpainted
i will draw the square
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You mean a 3-ft border all around inside the room like this?
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The 3-ft border is going to be painted. The crosshatched area inside will not be painted.
The question is what is the area of the crosshatched area inside.
The inner area that will not be painted is in the shape of a rectangle.
Do you know how to find the area of a rectangle?
multiply the top and sides
Good. Multiply the length by the width.
We need the length and width of the inner rectangle.
Let's see how we can find them.
No. 140 ft^2 is the area of the large outside rectangle.
You calculated the area correctly, but it's the wrong rectangle.
We need the area of the smaller inner rectangle.
We need the length called L in the figure below.
Notice length L of the smaller rectangle.
Its length is the large length, 14 ft, with 3 ft taken away from each side.
What is the length L?
See figure below.
What is 14 - 3 ?
Take the length of the outer rectangle, 14 ft, and subtract 3 ft twice.
Then take the width of the outer rectangle, 10 ft, and subtract 3 ft twice.
That will give you the length and width of the inner rectangle.
Then multiply that length and width of the inner rectangle to find its area.