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a shape is shown on the centimetre grid below work out the area of the shape after it has been enlarged by scale factor 2 state the units of your answer

A Shape Is Shown On The Centimetre Grid Below Work Out The Area Of The Shape After It Has Been Enlarged By Scale Factor 2 State The Units Of Your Answer class=

Sagot :

Area of one box =1cm²

Area of figure

  • 5(1)
  • 5cm²

Scale factor=2

New area

  • 5(2)
  • 10cm²
semsee45

Answer:

20 cm²

Step-by-step explanation:

If the given shape has been enlarged by scale factor 2, then each of the side lengths will be increased from 1 cm to 2 cm, as 1 × 2 = 2

Area of the given shape is 5 cm².

As we are working with area, we cannot simply multiply the area of the given shape by the scale factor.  Area is measured in square units, therefore we need to multiply the area of the given shape by the square of the scale factor.

⇒ area of the enlarged shape = area of given shape × sf²

                                                  = 5 cm² × 2²

                                                  = 5 cm² × 4

                                                  = 20 cm²

(see attached image for proof)

View image semsee45
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