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QuestionSe due rettangoli sono equivalenti, qual è l'altezza di uno con base 1,6 dm se l'altro misura 2,8 dm e 1,2 dm? Usa A1=A2A_1 = A_2 per trovare l'altezza.

Studdy Solution

STEP 1

Assumptions1. We have two rectangles that are equivalent. . The base of the first rectangle is1.6 dm.
3. The dimensions of the second rectangle are.8 dm and1. dm.

STEP 2

Since the two rectangles are equivalent, their areas are equal. The area of a rectangle is calculated by multiplying its base by its height.
Area=BasetimesHeightArea = Base \\times Height

STEP 3

We know the base and the dimensions of the second rectangle, so we can calculate the area of the second rectangle.
Area=2.8 dmtimes1.2 dmArea =2.8\, dm \\times1.2\, dm

STEP 4

Calculate the area of the second rectangle.
Area=2.8 dmtimes1.2 dm=3.36 dm2Area =2.8\, dm \\times1.2\, dm =3.36\, dm^2

STEP 5

Now we know the area of the second rectangle, which is also the area of the first rectangle since they are equivalent. So, we can find the height of the first rectangle by rearranging the formula for the area of a rectangle.
Height=Area/BaseHeight = Area / Base

STEP 6

Plug in the values for the area and the base of the first rectangle to calculate its height.
Height=3.36 dm2/1.6 dmHeight =3.36\, dm^2 /1.6\, dm

STEP 7

Calculate the height of the first rectangle.
Height=3.36 dm2/1.6 dm=2.1 dmHeight =3.36\, dm^2 /1.6\, dm =2.1\, dmThe height of the first rectangle is2.1 dm.

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