The school designed their vegetable garden to have a perimeter of 32 feet with the length measuring two feet more than twice the width. Using ℓ to represent the length of the garden and w to represent its width, write and solve a system of equations that describes this situation.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.