At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
post the question please...
The figure below shows a shaded region and a nonshaded region. Angles in the figure that appear to be right angles are right angles. A picture of a rectangle is shown. The bottom of the rectangle is labeled 16 ft. The right side of the rectangle is labeled 8 ft. At the bottom left side of the rectangle there is a label that reads 2 ft. Inside the rectangle is a shaded region. The bottom of the region is labeled 8 ft and this side is perpendicular to the left side of the rectangle. The right side of the shaded region has a perpendicular line segment extending upward that is labeled 2 ft. At the top of this line segment is another line segment perpendicular to the right that reads 2 ft. At the end of this line segment is a perpendicular line segment extending upward that reads 1 ft. There is a line segment joining the end of this line segment with the top left corner of the rectangle. What is the area, in square feet, of the shaded region? Enter your answer in the box. square feet What is the area, in square feet, of the nonshaded region? Enter your answer in the box. square feet
can you try drawing it? this is a bit confusing to understand
ok ill draw it :)
and judging by the problem, I'm guessing that this part is shaded?|dw:1440102795581:dw|
ok then how do we get the answer?
well, let's just look at the shaded part for now |dw:1440103002747:dw|
we can split this into two rectangles like so:
the diagram tells us that rectangle A has length 8 and width 3, so the area of rectangle A = ?
what do i have to do to find the area of A
area of a rectangle = length*width = ?
right, now we find the area of rectangle B length = 2, width = 1, so area of rectangle B = ?
right, now add the two areas together: area of A + area of B = ?
oh sorry 26
right, so 26 is our shaded area
ok now nonshaded?
wait no the answer is 18 for the shaded area
because its a 2 not a 3 .. so 8*2 not 8*3
unless my drawing is incorrect
oh! so its 26
right, let's keep moving...
now, let's go back to the whole picture|dw:1440103693588:dw|
we can see that the area of the big rectangle = shaded + unshaded we have shaded, and we want to find unshaded. let's start by finding the area of the big rectangle the rectangle has width 8 and length 16, so area = ?
right. area of big rectangle = 128 so unshaded = area of big rectangle - shaded = ?
yup, so we're done
so the nonshaded area is 102 feet
ok thanks :)