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 enlargement
Answers
Explanation:
The area of the enlargement is 315cm......
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Step-by-step explanation:
If the picture has 35cm as the area and it has a length of 7cm then we can find the width by dividing the area by the length.
w= 35/7
w = 5
So in this care the width of the picture in 5cm.
Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply by 3.
In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.
w= 5*3 = 15
The width is 15cm and the length is 21cm so multiply them to find the area.
A = 15 * 21
A = 315cm
Answer:
105 cm² area is enlarged.
Explanation:
- The picture is of rectangular shape and its area is 35 cm².
So, length × breath = 35 cm²
7 × breath = 35 cm² [ as given length = 7 cm]
Breath = 35/7 = 5 cm.
- Now the length of the picture is enlarged by 21 cm.
So the new length = 7 + 21 = 28 cm.
Breath = 5 cm [as breath remains same.]
The new area of the picture = length × breath = 28 × 5 = 140 cm².
- Enlargement in area = new area - initial area = 140 - 35 = 105 cm².
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