Consider the attachment first for a better understanding, now after considering the attachment you will gotta know that, the height of the parallelogram is just same as the width of the rectangle i.e (2/5) foot and but for the base of the parallelogram we can subtract the base of one triangle from the length of the rectangle, so it will give us (3/5) - (1/25) = (2/5), so now we have breadth as well as height of the parallelogram, so now, as area of a parallelogram is given by it's height times it's base, so we will be having
![{:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{2}{5}\times \dfrac25}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Csf%20Area_%7B%28Parallelogram%29%7D%3D%5Cdfrac%7B2%7D%7B5%7D%5Ctimes%20%5Cdfrac25%7D)
![{:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Cboxed%7B%5Cbf%7BArea_%7B%28Parallelogram%29%7D%3D%5Cdfrac%7B4%7D%7B25%7D%5C%3A%5C%3A%20sq.%5C%3A%5C%3Afoot%7D%7D%7D)
<em>Hence, Option D) is </em><em>correct</em>
Well, we have another method for it, we can subtract the area of both the triangles from the area of rectangle, and now,as their base of the triangle is (1/5) foot and height is same as the width of rectangle i.e (2/5) foots, so its area will be (1/2) times base times height, but as here are two triangles, so multiplying the area of one triangle by 2 will vanish 2, so now we just have
![{:\implies \quad \sf Area_{(Parallelogram)}=\bigg(\dfrac{2}{5}\times \dfrac{3}{5}\bigg)-\bigg(\dfrac{1}{5}\times \dfrac{2}{5}\bigg)}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Csf%20Area_%7B%28Parallelogram%29%7D%3D%5Cbigg%28%5Cdfrac%7B2%7D%7B5%7D%5Ctimes%20%5Cdfrac%7B3%7D%7B5%7D%5Cbigg%29-%5Cbigg%28%5Cdfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cdfrac%7B2%7D%7B5%7D%5Cbigg%29%7D)
![{:\implies \quad \sf Area_{(Parallelogram)}=\dfrac{6}{25}-\dfrac{2}{25}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Csf%20Area_%7B%28Parallelogram%29%7D%3D%5Cdfrac%7B6%7D%7B25%7D-%5Cdfrac%7B2%7D%7B25%7D%7D)
![{:\implies \quad \boxed{\bf{Area_{(Parallelogram)}=\dfrac{4}{25}\:\: sq.\:\:foot}}}](https://tex.z-dn.net/?f=%7B%3A%5Cimplies%20%5Cquad%20%5Cboxed%7B%5Cbf%7BArea_%7B%28Parallelogram%29%7D%3D%5Cdfrac%7B4%7D%7B25%7D%5C%3A%5C%3A%20sq.%5C%3A%5C%3Afoot%7D%7D%7D)
<em>This also, proves that the correct answer is D)</em>