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
1.
Find the perimeter of a rectangle 19 cm long by 27.8 cm wide.
22
2.
In triangle ABC, angle A = 47°, and angle B = 8°. Find angle C.35
3.
Find the perimeter of a triangle with sides of length 28 cm, 47 cm and 19 cm.
27
4.
In triangle FGH, angle F = 32°, and angle G = 100°. Find angle H.165
5.
Find the circumference of a circle whose radius is 27 in.
(use 3.14 for π).32.0
6.
Find the area of the trapezoid.63
7.
Find the area of a triangular piece of cloth that has a 18 cm base and is 24 cm high.43
8.
Find the area of a circle with a radius of 39 cm (use 3.14 for π).20
9.
Find the area of a rectangle 17 m by 13 m.13
10.
Find the area of the triangle with a base of 27 ft and height of 24 ft:
11.21
Find the volume of the box:
12.
Find the volume of a sphere with a 15 in. radius.10
13.
Find the volume of a cone that is 18 in. high and has a 6 in. radius.24
14.
Find the volume of a cylinder that is 15 in. high and has a 10 in. radius.2
15.
Find the volume of a box that is 12 feet long, 27 feet high and 3 feet wide.39
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.