What is the area of the figure?

A rectangle is cut out of a large rectangle. The larger rectangle has a base of 6 yards and a height of 7 and one-fourth yard. The smaller rectangle inside has a base of 3 and two-thirds yard and height of 5 yards.
–25One-sixth yd2
22One-sixth yd2
25One-sixth yd2
61StartFraction 5 Over 6 EndFraction yd2

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step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!