Polygon abcde is reflected across the x-axis to form polygon a′b′c′d′e′. then polygon a′b′c′d′e′ is dilated by a scale factor of 0.5 about d′ to form polygon lmnop. vertices a and b correspond to l and m, respectively. if the length of ab is 2.20 units, the length of lm units. write your answer as a decimal number to two decimal places.

Answer with explanation:

It is given that ,Polygon ABCDE is reflected across the x-axis to form polygon A′B′C′D′E′.

→→When a geometrical shape is reflected ,the two image that is polygon A′B′C′D′E′ and Pre image Polygon ABCDE  are Congruent to each other.

→→Also, Distance from line of Reflection that is from X axis to all the vertices of polygon ABCDE = Distance from line of Reflection that is from X axis to all the vertices of polygon A′B′C′D′E′.

⇒Polygon A′B′C′D′E′ is dilated by a scale factor of 0.5 about D′ to form polygon L M N OP.

Dilation Factor <1

So, →Size of polygon L M N OP <  Size of polygon A′B′C′D′E′

When a geometrical shape is dilated the two, polygon A′B′C′D′E′ and polygon L M N OP are similar to each other.

≡A→L, B→M

AB=2.20 Units

Corresponding Sides of two polygons that is , polygon A′B′C′D′E′ and polygon L M N OP, will be Proportional to each other which will be equal to Dilation factor.

⇒L M = 2.20 × AB

L M= 2.20 × 0.5

L M= 1.10 units

the answer is a

step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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