Answer: the length and width are
(x + 8) and (x + 8)
Step-by-step explanation:
The rug has an area represented by the expression
Area = 4x² + 64x + 256.
The factors in the factored expressions represent the length and width of the rug.
Dividing the the equation by 4, it becomes
x² + 16x + 64 = 0
We would find two numbers such that their sum or difference is 16x and their product is 64x^2.
The two numbers are 8x and 8x. Therefore,
x² + 8x + 8x + 64 = 0
x(x + 8) + 8(x + 8) = 0
The factors are
(x + 8)(x + 8)
The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
brainly.com/question/1675117
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The questions appear to be cut off in the image. If you could upload a different image I would love to help!
Im pretty sure it would be 48 since the beginning number is 50 and A is 2 more down. and if 1 mark = 1 unit then i think it will be 48
