# The length of a rectangle is 5 inches more than the width. The perimeter is 46 inches. What are the length and the width of the rectangle?

By signing up, you agree to our Terms of Service and Privacy Policy

Let's denote the width of the rectangle as ( w ) inches. According to the given information, the length of the rectangle is ( w + 5 ) inches.

The perimeter of a rectangle is given by the formula:

[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) ]

Substituting the given values:

[ 46 = 2 \times ((w + 5) + w) ]

[ 46 = 2 \times (2w + 5) ]

[ 46 = 4w + 10 ]

Now, let's solve for ( w ):

[ 4w = 46 - 10 ]

[ 4w = 36 ]

[ w = \frac{36}{4} ]

[ w = 9 ]

So, the width of the rectangle is 9 inches.

Now, we can find the length:

[ \text{Length} = \text{Width} + 5 ]

[ \text{Length} = 9 + 5 ]

[ \text{Length} = 14 ]

Therefore, the length of the rectangle is 14 inches and the width is 9 inches.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the area of an equilateral triangle inscribed in a circle with a radius of 5 inches?
- Two corners of an isosceles triangle are at #(9 ,2 )# and #(1 ,7 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
- A cone has a height of #14 cm# and its base has a radius of #7 cm#. If the cone is horizontally cut into two segments #5 cm# from the base, what would the surface area of the bottom segment be?
- Cups A and B are cone shaped and have heights of #35 cm# and #23 cm# and openings with radii of #14 cm# and #9 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?
- Find the area of a regular hexagon if its perimeter is 60 cm?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7