Question

A rectangle measuring 7cm by 4cm is enlarged by a ratio of 2:1

a) what is the area of:
1) the original rectangle??
2)the enlarged rectangle??​

Answer 1

Answer:

original rectangle

7cm×4cm=28cm^2

enlarged rectangle

8cm×4cm=32cm^2

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Answer 2

A rectangle measuring 7 cm by 4 cm is enlarged by a ratio of 2:1 a) What is the area of: i) the original rectangle? ii) the enlarged rectangle? b) By what ratio has the area been enlarged?

Solution

Verified

Step 1

1 of 2

Multiply the two dimensions of the rectangle by the given ratio, the dimensions of the enlarged rectangle are:

21×7=14 cm12×7=14 cm

And,

21×4=8 cm12×4=8 cm

a)a)

Since the area of the rectangle is the production of its tall and width, so:

The area of the original rectangle is:

7×4=28 cm27×4=28 cm2

The area of the enlarged rectangle is:

14×8=112 cm214×8=112 cm2

b)b)

Divide the area of the enlarged rectangle by the area of the original rectangle:

11228=4128112=14

So, the area was enlarged by a ratio 4:14:1