F. How many times greater is the area of triangle DEF than the area of triangle ABC? Show/explain.

Area of ΔDEF is 2.25 times the area of ΔABC.

Step-by-step explanation:

Since, ΔDEF is the enlarged form of ΔABC,

Scale factor =

                    =

                    = 1.5

Since, ratio of the areas of image and preimage triangles = (Scale factor)²

= (Scale factor)²

Area of image ΔDEF = 2.25(Area of ΔABC)

Therefore, area of ΔDEF is 2.25 times the area of ΔABC.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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