Join IDNLearn.com and become part of a knowledge-sharing community that thrives on curiosity. Our platform offers reliable and detailed answers, ensuring you have the information you need.
Sagot :
The area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.
What is the area of the trapezium?
A trapezium is a quadrilateral having two opposite sides parallel.
The area of a trapezium is equal to;
[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}[/tex]
The trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis.
The vertices are at (0,10), (10,10),(5,5) and (0,5)
You need to find the area of the rectangle (0,10) (10,5) (0,5) and (5,5)
The lengths are 5, 5,5,5.
The area of the legs is = 5 × 5 =25
The area is;
[tex]\rm Area =\dfrac{1}{2} \times \text{Distance between the parallel sides} \times \text{Sum of the parallel sides}\\\\Area =\dfrac{1}{2} \times 5 \times 5\\\\Area =12.5[/tex]
And the right triangle (10,5),(5,5), and (10,10) the right angle is at (10,5)
the two legs are lengths 5 and 5
so together they are 25 +12.5=37.5 square units.
Hence, the area of a trapezoid is bounded by the lines y = x, y = 10, y = 5, and the y− axis is 37.5 square units.
Learn more about trapezoids here;
https://brainly.com/question/15740528
#SPJ3
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.
