Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Answer:
The value of x is the value where the line crosses the x-axis!
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Hope this helps!!
Please tell me if I have made a mistake!!
I enjoy learning from them:)
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
Answer:
469
Step-by-step explanation:
- Difference = subtraction
- 6,204 - 5,735 = 469
I hope this helps!
Inequality would be: 22 + 17x ≤ 80
Where, x = Number of shirts, that he can buy
Solving: 17x ≤ 58
x ≤ 58/17
x ≤ 3.41
In short, He can buy 3 shirts only.
Hope this helps!
