PLEASE HELP ME THIS ANSWER DRIVING ME CRAZY!!!
2 answers:
You might be interested in
An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70
<u>Solution:</u>
Given that, Bill spent 70 on fertilizer and weed killer for his lawn
Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50
We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.
Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>
Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.
Hence, the equation is 0.5x + 3.5y = 70
Answer:
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
Step-by-step explanation:
Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.
To find - What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?
Proof -
We know that
Are of Rectangle = Length × Breadth
And Perimeter of Rectangle = 2 (Length + Breadth )
Now,
Given that,
Orbet used 24 square tiles
And perimeter of the rectangle made = 20
So,
Possible Length of rectangle = 6
Possible breadth of Rectangle = 4
Or Vice-versa.
Total number of Rectangles possible = 4
Possibilities are - 1 × 24, 2 × 12, 3 × 8, 4 × 6
Case I :
Length of rectangle = 1
Breadth of rectangle = 24
∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units
Area of rectangle = 1 × 24 = 24 unit²
Case II :
Length of rectangle = 2
Breadth of rectangle = 12
∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units
Area of rectangle = 2 × 12 = 24 unit²
Case III :
Length of rectangle = 3
Breadth of rectangle = 8
∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units
Area of rectangle = 3 × 8 = 24 unit²
Case IV :
Length of rectangle = 4
Breadth of rectangle = 6
∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units
Area of rectangle = 4 × 6 = 24 unit²
∴ we get
The perimeter of other rectangles are 50, 28, 22 units
The area of all possible rectangles are same and equals to 24 unit²
