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Area of the carpet needed = 38 ft²

Solution:

The given image is splitted into two shapes.

One is trapezoid and the other is triangle.

Top base of the trapezoid = 8 ft

Bottom base of the trapezoid = 12 ft

Height of the trapezoid = 3 ft

Area of the trapezoid =

                                    = 30

Area of the trapezoid = 30 ft²

Base of the triangle = 12 ft – 8 ft = 4 ft

Height of the triangle = 4 ft

Area of the triangle =

                                 = 8

Area of the triangle = 8 ft²

Area of the carpet = Area of the trapezoid + Area of the triangle

                               = 30 ft² + 8 ft²

                               = 38 ft²

Area of the carpet = 38 ft²

Hence 38 square feet of outdoor carpet will need for this hole.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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