This is a table with two columns, pairs of item are organized?

The area of the trapezoid is 35 cm².

Solution:

The figure is splitted into two shapes.

The reference image is attached below.

One shape is rectangle and the other is triangle.

Length of the rectangle = 6 cm

Width of the rectangle = 5 cm

Area of the rectangle = length × width

                                    = 6 × 5

                                    = 30 cm²

Base of the triangle = 8 cm - 6 cm = 2 cm

Height of the triangle = 5 cm

Area of the triangle =

                                 =  5 cm²

Area of the trapezoid = Area of the rectangle + Area of the triangle

                                    = 30 cm² + 5 cm²

                                    = 35 cm²

The area of the trapezoid is 35 cm².

Given equation is y=2x+7 and

Let's simplify the 2nd equation before we can start graph so that calculation will be easy

multiply both sides by 2 to cancel out fractions

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

Total distance walked by Layla is 300 yards

Solution:

Given that,

Layla is walking in a rectangular park

She walks one side that is 50 yards and then the other  side that is 120 yards

Length = 120 yards

Width = 50 yards

Layla develops a cramp in her leg and walks diagonally through the park  to head back home

Let us find the length of diagonal of rectangle

Thus length of diagonal is 130 yards

What is the total distance that layla walked?

Given that Final answer is  perimeter of the triangle park

The diagonal and length and width forms a right angle triangle

Perimeter of triangle = diagonal length + width + length

Perimeter of triangle = 130 + 50 + 120 = 300

Thus total distance walked by Layla is 300 yards