ANSWER ASAP!! GIVING BRAINLIEST TO FIRST PERSON TO ANSWER BOTH QUESTIONS!!!A square and a rectangle have the same perimeters. The length of a side of the square is 4x-1. The length of the rectangle is 2x+1 and the width is x+2. What is the value of x? What is the perimeter of the square and the rectangle?1. DEFINE YOUR VARIABLE2. WRITE AND EQUATION3. SOLVE THE EQUATION4. WRITE A SENTENCE FOR YOUR SOLUTION
Accepted Solution
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Answer:The answer to your question is:x = 1Square's perimeter = 12Rectangle perimeter = 12The value of x is one and the perimeter of the square and the rectangle is the same.Step-by-step explanation:DataSide of Square = 4x - 1Length of rectangle = 2x + 1Width = x + 2Perimeters are the sameProcessSquare perimeter = 4(4x - 1)Rectangle's perimeter = 2(2x + 1) + 2(x+ 2)Then 4(4x - 1) = 2(2x + 1) + 2(x+ 2) Equation 16x - 4 = 4x + 2 + 2x + 4 16x - 4 = 6x + 6 16x - 6x = 6 + 4 10x = 10 x = 10 / 10 x = 1 Perimeter of the square = 4(4(1) - 1) = 4(3) = 12Perimeter of the rectangle = 2(2(1) + 1) + 2((1)+ 2) = 2(3) + 2(3) = 6 + 6 = 12