Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240 square feet. based on this information, what are the dimensions of the fence? select one: a. 4 feet by 10 feet b. 8 feet by 15 feet c. 10 feet by 24 feet d. cannot be determined from the information given.

Let's call the length of the rectangular fence and the width of the rectangular fence .

Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

Now, let's substitute in the values we are given in the problem:

Now, let's solve the system using substitution.

and

We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

Thus, our answer is Choice C, or 10 feet by 24 feet.

1 is c

2 is a

3 is a

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc