Cristian is building a rectangular garden in his backyard. the width of the garden is set at 29 inches. he wants the fence to be 5 inches longer than the garden on each side. if he wants the area enclosed by the fence to be 2028 square inches, how long should the garden be?

The length of the garden should be

Step-by-step explanation:

Let

x------> the length side of the garden

we know that

The area enclosed by the fence is equal to

answer: 486in^2

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.