A rectangular poster is three times as it is wide. A rectangular banner is five times as long as it is wide. But the banner in t
1 answer:
Answer:
The length of the rectangular banner is 10 inches
The width of the rectangular banner is 2 inches .
Step-by-step explanation:
Given as :
The length of rectangular banner is five times as long as its width
The perimeter of rectangular banner = P = 24 inches
Let The width of rectangular banner = w inches
And The length of rectangular banner = 5 w inches
Now, According to question
The perimeter of rectangular banner = perimeter of rectangle = 2 × length + 2 × width
Or, The perimeter of rectangular banner = 2 × 5 w + 2 × w
Or, 24 inches = 10 w + 2 w
Or, 24 inches = 12 w
∴ w =
I.e w = 2 inches
So, The width of rectangular banner = w = 2 inches
Put the value of w to get length
So, The length of rectangular banner = 5 × 2 = 10 inches
Hence The length of the rectangular banner is 10 inches and The width of the rectangular banner is 2 inches . Answer
You might be interested in
Step-by-step explanation:
The shape of the new pizza must meet the conditions:
- Be an irregular polygon (different sides and/or angles).
- Have at least five sides.
- Have the approximately the same area as a 14" diameter circle.
- Fit in a 14⅛" × 14⅛" square.
- Be divisible into 8-12 equal pieces.
For simplicity, I will choose a polygon with 5 sides (a pentagon), and I will use 2 right angles (a "house" shape).
Split the pentagon into a rectangle on bottom and triangle on top. If we cut the rectangle into 8 pieces like a regular pizza, and the triangle in half, we get 10 triangles.
Now we just need to figure out the dimensions. The area of a 14" circular pizza is:
A = πr²
A = π (7 in)²
A ≈ 154 in²
That means the area of each triangle slice needs to be 15.4 in². If we make the total width of the pentagon 14", then the width of each triangle is 7", and the height of each triangle is:
A = ½ bh
15.4 in² = ½ (7 in) h
h = 4.4 in
Which makes the total height of the pentagon 3h = 13.2 in.
So, our 13.2" × 14" pentagon has at least 5 sides, is irregular, has the same area as a 14" diameter circle, fits in a 14⅛" × 14⅛" square, and can be divided into 8-12 equal pieces.
Of course, there are many possible solutions. This is just one way.
