In a rectangle \( A B C D \), the length of the diagonal \( \overline{A C} \) is given by \( (188+15 \) cur and the length of diagonal \( \overline{B D} \) is given by \( (20 x+11) \mathrm{cm} \). Find actual lengher of \( A C \) and BD. Construct a rectangle EFGH with \( \mathrm{EF}=8 \mathrm{~cm} \mathrm{FG}=6 \mathrm{~cm} \). pblem Solving E Ethiopian govemment declares the Green Legacy program. W/ ro Keria and her fimitly Itad mango and avocado trees. She planted mango and av ocado plants on two panile

To find the lengths of diagonals \( AC \) and \( BD \) in the rectangle \( ABCD \), we can set them equal since the diagonals of a rectangle are equal in length. This gives us the equation: \[ 188 + 15 = 20x + 11 \] Simplifying, we get: \[ 203 = 20x + 11 \] Subtracting 11 from both sides yields: \[ 192 = 20x \] Dividing both sides by 20 gives: \[ x = 9.6 \] Now, substituting \( x \) back into the expression for \( BD \): \[ BD = 20(9.6) + 11 = 192 + 11 = 203 \text{ cm} \] So, the lengths of both diagonals \( AC \) and \( BD \) are \( 203 \text{ cm} \). When constructing rectangle \( EFGH \) with \( EF = 8 \text{ cm} \) and \( FG = 6 \text{ cm} \), you can visualize this as a fun project where creativity comes into play! Imagine taking a piece of graph paper, where you can plot out the vertices (0,0), (8,0), (8,6), and (0,6) to make perfect right angles, forming the rectangle. It's a simple way to introduce geometry practically! In the Green Legacy program, trees like mango and avocado not only contribute to the environment but also become part of a family's heritage. Incorporating this into your garden is like creating a mini-ecosystem. Try planting each type of tree at a distance that makes them comfortable while maximizing your garden space. Remember, thoughtful layout planning can avoid overcrowding and ensures each tree gets enough sunlight and nutrients!