Answer:
In the trapezoids ABCD and RSPQ,
Angles A, B, C and D are corresponding to the angles R, S, P and Q respectively,
Also, the sides AB, BC, CD and DA are corresponding to the sides RS, SP, PQ and QR respectively.
Since, when two figures are congruent to each other then their corresponding sides and angles are also congruent.
Here, trapezoids ABCD and RSPQ are congruent.
Therefore, AB≅RS, AB≅RS, AB≅RS, AB≅RS
And, ∠A ≅ ∠R, ∠B ≅∠S, ∠C≅∠P, ∠D≅∠Q
Answer:
Area = 2500 square feet is the largest area enclosed
Step-by-step explanation:
A rectangular piece of land borders a wall. The land is to be enclosed and to be into divided 3 equal plots with 200 feet of fencing
Let x be the length of each box and y be the width of the box
Perimeter of the box= 3(length ) + 4(width)
solve for y
divide both sides by 4
Area of the rectangle = length times width
Now take derivative
Set it =0 and solve for x
multiply both sides by 2/9
For any value of x, second derivative is negative
So maximum at x= 100/3
, replace the value of x
Area = 2500 square feet is the largest area enclosed