The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
Learn more about dimensions of a rectangular area here:
brainly.com/question/16818606
See the attached image.
We start this problem by finding the union of and . This is highlighted in green in the attachment.
Next, we find the intersection of that area and (highlighted in yellow). This means we need to find the area where both and are highlighted. This intersection is highlighted in pink and is the final answer.
<em>(Apologies for the image quality.)</em>
Answer:
<h2>A</h2>
Step-by-step explanation:
The Commutative Property of Multiplication states that it doesn't matter in what order you multiply terms to get the same answer:
In this case
A: commutative property
B: distributive property
C: distributive property
D: associative property
Thus the answer is option A
<h2>
Answer:</h2>
<u>The identity is </u><u>3w + 8 – w = 4w – 2(w – 4)
</u>
<h2>
Step-by-step explanation:</h2>
2w+8=4w−2(w−4)
2w+8=4w−2w+8
2w+8=2w+8
Since both sides equal so it is an identity