Question

The rectangular screen of a tablet measures 10 inches diagonally and has its dimensions in the ratio 4:3. What is the area of the entire screen?

• A. 40 sq. inch
• B. 44 sq. inch
• C. 48 sq. inch
• D. 54 sq. inch

Answer 1

The correct option is C 48 sq. inch

The dimensions of the screen are in the ratio 4:3.

So, we can consider that:

$\text{Length of the screen}=4xinches$
$\text{Width of the screen}=3xinches$
$⟹\text{Diagonal}=\sqrt{(4x{)}^2+(3x{)}^2}$
$=\sqrt{16x^2+9x^2}$
$=\sqrt{25x^2}=5xinches$

The length of the diagonal is given as 10 inches.
$⟹5x=10$
$\therefore x=2$

Hence, the dimensions of the tablet are:
$\text{Length}=4xinches=4\times 2=8inches$
$\text{Width}=3xinches=3\times 2=6inches$

$⟹\text{Area of the screen}=8inches\times 6inches=48sq.inches$