Question

Mrs. Lopez is designing her garden in the shape of a rectangle. The area of her garden is 2 times greater than the area of the rectangle shown. Write the area of Mrs. Lopez's garden in simplest form.

Answer 1

To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.

Area of the garden will be represented by the expression 32s⁵ ft².

Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.

Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.

Therefore, area of the rectangle in the picture = Length × Width

                                                                              = 4s³t × 8s²

                                                                              = 32s⁵t ft²

Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.

Therefore, area of the garden = 2(area of the rectangle given in the garden)

                                                  = 2(32s⁵t) square feet.

                                                  = 64s⁵t square feet

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