Question

Raul’s family is buying a home on an odd-shaped lot. the lengths of three of the sides are given by the expressions shown. the remaining two side lengths are equal to each other. the perimeter of the lot is given by the expression 13y – 5. which expression gives the length of each remaining side? a. 4y + 8 b. 2y + 4 c. 2y – 1 d. 4y – 2

Answer 1

To find the length of the remaining two sides, subtract the lengths of the three given sides from the perimeter expression (13y - 5) and divide by 2.

Step-by-step explanation:

To find the length of the remaining two sides, we first need to determine the value of y in the expression 13y - 5. Since the perimeter of the lot represents the sum of all the side lengths, we can write an equation: 13y - 5 = A + B + C + D + D, where A, B, and C are the lengths of the three given sides and D represents the length of the remaining two sides. Since the remaining two side lengths are equal to each other, let's call each side length x. Therefore, the equation becomes: 13y - 5 = A + B + C + x + x. Simplifying further, we have: 13y - 5 = A + B + C + 2x. To find x, we can subtract the lengths of the three given sides and divide the result by 2: x = (13y - 5 - A - B - C)/2. So, the expression that gives the length of each remaining side is (13y - 5 - A - B - C)/2.

Answer 2

The length of each remaining side of Raul's family's lot can be solved for by setting up an equation with the given perimeter and subtracting the expressions for the known three sides' lengths. However, without the expressions for the known sides (A, B, and C), it is not possible to solve for 'x', the length of each of the two remaining sides.

The correct option is d.

Step-by-step explanation:

To determine the length of each remaining side of Raul's odd-shaped lot, given that we know three sides and the total perimeter, we start by setting up an equation with the total perimeter equal to the sum of all side lengths.

Let's call the length of each of the two remaining equal sides 'x'. If the given sides are 'A', 'B', and 'C', and the total perimeter is 'P', then the equation would be:

A + B + C + 2x = P. We are given the perimeter expression as 13y – 5. By substituting the values of A, B, and C as expressions of 'y' and solving for 'x', we would find the expression that represents the length of each remaining side.

Since we don't have the actual expressions for A, B, and C in the question, we can't provide the correct answer. We would need those expressions to solve for 'x'.

The correct option is d.