The area of a rectangle is 15 square inches. What will be the area, in square inches, of the rectangle after it is dilated by a scale factor of 2?

Respuesta :

  • Answer:

60 inches²

  • Step-by-step explanation:

A₁ = l×w = 15 in²

A₂ = 2l×2w = 4lw

replace lw

A₂ = 4×lw = 4×15in² = 60 inches²

The area after dilation is 60 sq.inches.

What is the formula of Area of Rectangle?

The area of rectangle for a rectangle of length L and width W is given by

                                               A =  L* W

It is measured in square units.

The area of a rectangle is 15 sq.inches

The rectangle is dilated by a scale factor of 2.

If the length and width of the rectangle is L and W.

The new length = 2L

The new width = 2W

The new area = 2L * 2W

Area = 4 * LW

Area = 4 * 15

Area = 60 sq.inches

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