MATH: ALGEBRAIC EXPRESSIONS.
A'LEILA IS BUILDING A PEN FOR HER PET DONKEY. THE PEN IS A RECTANGLE WITH ONE SIDE MEASURING B YARDS AND THE ADJACENT SIDE MEASURING A YARDS. A'LEILA KNOWS THAT A = 1/3 B.
A. WRITE TWO DIFFERENT EXPRESSIONS GIVING THE PERIMETER OF THE DONKEY'S PEN.
B. CHOOSE A VALUE FOR A THAT IS GREATER THAN 5 AND LESS THAN 15. EVALUATE THE PERIMETER OF THE PEN FOR THAT VALUE, USING ONE OF THE EXPRESSIONS THAT YOU WROTE.
C. EXPLAIN WHY YOU USED THAT EXPRESSION TO EVALUATE THE PERIMETER OF THE DONKEY'S PEN.
A. The perimeter of the donkey's pen can be calculated by adding up all four sides.
Expression 1: P = 2a + 2b
Expression 2: P = a + a + b + b
B. Let's choose a value for a = 8 (greater than 5 and less than 15).
Using Expression 1: P = 2a + 2b
P = 2(8) + 2b
P = 16 + 2b
C. We used Expression 1 to evaluate the perimeter of the donkey's pen because it directly incorporates the values of both a and b, without any further manipulation required. By substituting a = 8 into the expression, we can find the perimeter easily.