A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made which is 21cm long.Find the area of the enla
rgement
2 answers:
Answer:
increase by a factor of 3
Step-by-step explanation:
First you have to find the width,
35/7=5cm
Since the length had been increased to 21cm, we need to find the larger area,
21*5=105cm^2
now we just need to find how much has the area increased compare to the original area,
105/35=3
Answer:
315 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 7 : 21 = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the area of the enlargement is 9 times the original, so
area of enlargement = 35 × 9 = 315 cm²
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Step-by-step explanation:
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