the area of the shaded part.
4cm is the height 8cm is the base and 6cm is the top of the square.
then 6cm is the base of the second figure a trapezoid
Mary draws an8 cm by 6 cm rectangle on her grid paper . She shades a square with a side length of 4 cm inside her rectangle . What area of the rectangle is left unshaded
To find the area of the shaded part, we need to calculate the area of the square and subtract the area of the trapezoid.
1. Calculate the area of the square:
The area of a square is given by the formula A = s^2, where s is the length of one side.
In this case, the length of one side of the square is the height, which is 4 cm.
So, the area of the square is A = 4 cm x 4 cm = 16 cm^2.
2. Calculate the area of the trapezoid:
The area of a trapezoid is given by the formula A = (b1 + b2) * h / 2, where b1 and b2 are the lengths of the parallel bases, and h is the height.
In this case, the lengths of the bases are 8 cm (the bottom base) and 6 cm (the top base), and the height is 4 cm.
So, the area of the trapezoid is A = (8 cm + 6 cm) * 4 cm / 2 = 14 cm * 4 cm / 2 = 28 cm^2.
3. Calculate the area of the shaded part:
To find the area of the shaded part, subtract the area of the trapezoid from the area of the square:
Area of shaded part = Area of square - Area of trapezoid
Area of shaded part = 16 cm^2 - 28 cm^2 = -12 cm^2
However, the resulting area is negative, which doesn't make sense. Therefore, please recheck the given dimensions or provide more information to further assist you.