Answer:
[tex]\boxed{\textsf{ The area of the shaded region is\textbf{ 495 ft $^2 $ } .}}[/tex]
[tex]\boxed{\textsf{ The area of the unshaded region is \textbf{130 ft$^2$ } .}}[/tex]
Step-by-step explanation:
A square is given to us of dimensions 25ft × 25ft . And there is a parallelogram in between of height 10ft and lenght 13 ft . We need to find the area of the shaded and the unshaded region .
So , we know area of square as ,
[tex]\qquad\boxed{\boxed{\sf Area_{(square)}= (side)^2}}[/tex]
Area of parallelogram as ,
[tex]\qquad\boxed{\boxed{\sf Area_{(||gm)}= base\times height }}[/tex]
Now here we can see that the area of shaded region is equal to the difference of area of square and parallelogram .
[tex]\sf\implies Area_{(shaded)}= Area_{(square)}- Area_{(parallelogram)} \\\\\sf\implies Area_{(shaded)}= (25ft)^2 - 13 ft \times 10ft \\\\\sf\implies Area_{(shaded)}= 625 ft^2 - 130ft^2 \\\\\sf\implies \boxed{\pink{\frak{ Area_{(shaded)}= 495 ft^2 }}}[/tex]
