these is another one the width of a rectangular picture is one half the length. the perimeter of the rectangle is 72inches.Find the length of the picture.

2L+2w=72
2L(1/2)+2w=72
2L(5)+2w=72
10L+2w=72
12L+72
L=72
L=12/72
L=6

If width is 1/2 the length, then w = 1/2L.

Basic Geometry



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2.



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3.



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8.



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9.



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10.



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11.21



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13.



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14.



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15.



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Let's start by using the given information to set up an equation for the perimeter of the rectangle.

The formula for the perimeter of a rectangle is 2L + 2w, where L is the length and w is the width.

We are given that the perimeter is 72 inches, so we can write the equation as:
2L + 2w = 72.

Next, we use the given relationship that the width is one half the length. This means that w = 1/2L.

Now we can substitute w = 1/2L into the equation for the perimeter:
2L + 2(1/2L) = 72.

Simplifying this equation, we have:
2L + L = 72.

Combining like terms, we get:
3L = 72.

To solve for L, we divide both sides of the equation by 3:
L = 72/3.

This simplifies to:
L = 24.

So, the length of the picture is 24 inches.

To find the length of the picture, we can use the given equation for the perimeter of a rectangle: 2L + 2w = 72.

Since it is stated that the width is half the length, we can substitute w with 1/2L. This gives us: 2L + 2(1/2L) = 72.

Now, we can simplify the equation: 2L + L = 72.

Combining the like terms gives us: 3L = 72.

To isolate L, we divide both sides of the equation by 3: L = 72/3.

By dividing 72 by 3, we get L = 24.

Therefore, the length of the picture is 24 inches.