A square field had 3 m added to its length ad 2 m added to its width. The field then had an area of 90 m squared. Find the length of a side of the original field.
Answers
Answer:
The length of a side of the original field = 7 m.
Step-by-step explanation:
Here, the initial field is in form of a square.
Let us assume the side of the original square field = k meters
Now, the new length of the field = ( k + 3) m
The new width of the field = ( k + 2) m
So, the new field is now a rectangle with area = 90 sq. m
AREA OF A RECTANGLE = LENGTH x WIDTH
Here, the area of the new field = New length x new width
= ( k + 3) x ( k + 2)
⇒ either (k +12) = 0 ⇒ k = -12
or, ( k-7) = 0 ⇒ k = 7
But, here k = SIDE OF A FIELD, and it CANNOT be negative.
⇒ k = 7
Hence, the length of a side of the original field = 7 m.
Final answer:
To find the length of a side of the original field, you can solve the equation for the area of the expanded field.
Explanation:
To find the length of a side of the original field, we need to solve the equation for the area of the expanded field. Let's assume the original length of the square field is x meters. After adding 3 meters to its length and 2 meters to its width, the new length becomes (x+3) meters and the new width becomes (x+2) meters. The area of the expanded field is (x+3)(x+2) square meters, and it is given that this area is equal to 90 square meters. So, we have the equation (x+3)(x+2) = 90.
Next, we can solve this quadratic equation for x by factoring or using the quadratic formula. Once we find the value of x, we will have the length of a side of the original field.
Learn more about Quadratic equations here:
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Need help in question number 23 ONLY pleaseee!!
With which values of the argument the function acquires a value equal to144
b) 3
c) 2
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Have an amazing day!
Answer:
sqrt(2)
Step-by-step explanation:
1. Find the mean.
Mean=1+2+3+4+5=15/5=3
2. Subtract each number by the mean and square the value.
1-3=-2^2=4
2-3=-1^2=1
3-3=0^2=0
4-3=1^2=1
5-3=2^2=4
3. Add the values in step 2 then divide by amount of numbers.
4+1+0+1+4=10/5=2
4.Square the value in step 3 and that is the answer.
sqrt(2)
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Answer:
x^3-2x^2-5x+6
Step-by-step explanation:
Expand:
(x^2+x-2)(x-3) =
x^3-2x^2-5x+6
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Answer:
Step-by-step explanation:
Given equation,
For getting the equation for x,
We need to isolate x in the left side,
Subtract c on both sides of equation (1),
Divide both sides by A,
Which is the required equation.
Ax + c - c = R - c
Ax = R - c (divide A from each side)
Ax/A = (R-c)/A
x =
Answers
Answer:
3.70
Step-by-step explanation:
9 divided by 2.43
To divide decimal numbers we need to remove the decimal point
Now use long division to divide the numbers
3.70370
--------------------------------
243 900
729
---------------------------(subtract)
1710 (add decimal point at top)
1701
---------------------------
900 (add 0 at top)
729
---------------------------(subtract)
1710 (add decimal point at top)
1701
---------------------------
9
So answer is 3.70