Answer: The rectangular lot is 12x8 meters
Step-by-step explanation: <u>Perimeter</u> of a geometric figure is the sum of all its sides.
A rectangle is a quadrilateral that has opposite sides parallel and equal, which means, and suppose l is length and w is width:
P = 2l + 2w
The perimeter of the lot is 40m, thus:
2l + 2w = 40
Area of a rectangle is calculated as:
A = length x width
The lot has area of 96, thus:
lw = 96
Solving the system of equations:
2l + 2w = 40 (1)
lw = 96 (2)
Isolate l from (1):
2l = 40 - 2w
l = 20 - w (3)
Substitute (3) in (2):
w(20-w) = 96
There are many methods to determine the roots of a quadratic equation. One of them is using the sum and product of those roots.
- Sum of the roots is given by:
sum = 20
prod = 96
The roots of the quadratic equation are numbers which the sum results in 20 and product is 96:
w₁ = 12
w₂ = 8
If we substitute w to find l, the numbers will be l₁ = 8 and l₂ = 12.
Since length is bigger than width, the rectangular lot Mang Jose has to plant mushrooms measures 12m in length and 8m in width
Answer:
a
b
d
e
Step-by-step explanation:
he triangle is isosceles.
The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot.
The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.
Angle x and <117 are supplementary meaning they equal 180 degrees so x has to equal 63. which is the first option on the right
1.085*10^3 scientific notation is a number between 1-10 multiplied by 10 to a certain power.