<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
Answer:
Step-by-step explanation:
There are several approach to solving a quadratic equation; factorization, completing the square, the use of 'the almighty formula etc. Though i didn't see the steps you followed in solving, but from your answer, it is obvious you made good attempt but something is missing, your answer should be (5+√57)/2 or (5-√57)/2
Answer:
Step-by-step explanation:
Using the Foil method
you multiply x times x and get 
Then you multiply -4 times X and get -4x
Then you multiply -3 times X and get -3x
then you add -4 and -3 together and get -7x
Lastly you multiply -4 and -3 and get 12
And there you have it
Angle D is 180° -75° -45° = 60°. Drawing altitude MX to segment DN divides the triangle into ΔMDX, a 30°-60°-90° triangle, and ΔMNX, a 45°-45°-90° triangle. We know the side ratios of such triangles (shortest-to-longest) are ...
... 30-60-90: 1 : √3 : 2
... 45-45-90: 1 : 1 : √2
The long side of ΔMDX is 10√3, so the other two sides are
... MX = MD(√3/2) = 15
... DX = MD(1/2) = 5√3
The short side of ΔMNX is MX = 15, so the other two sides are
... NX = MX(1) = 15
... MN = MX(√2) = 15√2
Then the perimeter of ΔDMN is ...
... P = DM + MN + NX + XD
... P = 10√3 +15√2 + 15 + 5√3
... P = 15√3 +15√2 +15 . . . . perimeter of ΔDMN
Answer:
Step-by-step explanation:
A rectangle had a length of 2x-7 and a width of 3x+8y
Perimeter P = 2(l + w)
P = 2(2x - 7 + 3x + 8y)
P = 2(5x + 8y - 7)
P= 10x + 16y - 14
