the perimeter of a rectangular campsite is 64m and its area is 207m^2. find the length and breadth of the campsite
1 answer:
Answer:
The length is and the breadth is
Step-by-step explanation:
Let
x ----> the length of a rectangular campsite
y ----> the breadth of a rectangular campsite
we know that
The perimeter of a rectangle is equal to
so
------> equation A
The area of a rectangle is equal to
so
-----> equation B
substitute equation A in equation B
Solve the quadratic equation by graphing
The solution is ( I assume that the length is greater than the breadth)
see the attached figure
Find the value of y
therefore
The length is and the breadth is
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Check the picture below.
is not very specific above, but sounds like it's asking for an equation for the trapezoid only, mind you, there are square tiles too.
but let's do the trapezoid area then,
![\bf a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -------------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20a%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%20%5Cimplies%20%20%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%20%5Cqquad%20%5Cqquad%0A%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%5Cimplies%20a%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C)
is not very specific above, but sounds like it's asking for an equation for the trapezoid only, mind you, there are square tiles too.
but let's do the trapezoid area then,
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
(Vertical opposite angles)
Substitute the given values.
The value of x is 25. So, the measure of ∠JHN is
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
