MathDB

What is the area of the shaded region of the given

8 \times 5

rectangle?
[asy]
size(6cm); defaultpen(fontsize(9pt)); draw((0,0)--(8,0)--(8,5)--(0,5)--cycle); filldraw((7,0)--(8,0)--(8,1)--(0,4)--(0,5)--(1,5)--cycle,gray(0.8));
label("

1

",(1/2,5),dir(90)); label("

7

",(9/2,5),dir(90));
label("

1

",(8,1/2),dir(0)); label("

4

",(8,3),dir(0));
label("

1

",(15/2,0),dir(270)); label("

7

",(7/2,0),dir(270));
label("

1

",(0,9/2),dir(180)); label("

4

",(0,2),dir(180));
[/asy]

<span class='latex-bold'>(A)</span>\ 4\dfrac{3}{5} \qquad <span class='latex-bold'>(B)</span>\ 5\qquad <span class='latex-bold'>(C)</span>\ 5\dfrac{1}{4} \qquad <span class='latex-bold'>(D)</span>\ 6\dfrac{1}{2} \qquad <span class='latex-bold'>(E)</span>\ 8

Problem Statement