Question

The width of a laptop screen is 10 cm more than the height h.

The area of the screen is 600 cm2. Then the equation for area is,

a) h(h + 10) = 600

b) h x h = 600

c) h(10 - h) = 600

d) h ( h + 100) = 600

Answer 1

a) h(h + 10) = 600

Step-by-step explanation

Given:

• The width of a laptop screen is 10 cm more than the height h.
• The area of the screen is 600 cm².

To find out:

Find the equation for area ?

Formula used:

Area of rectangle = l × b

Solution:

We have,

Length = h

Breadth = 10 + h

We know that,

Area of laptop screen = length × breadth

☆ Substituting the values, we get

⇒ 600 = h ( h + 10 )

Hence, the equation for area is h ( h + 10 ) = 600.

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1.5cm}\begin{picture}(8,2)\linethickness{0.5mm}\put(7.7,3){\large\sf{A}}\put(7.3,2){\sf{\large{h cm}}}\put(7.7,1){\large\sf{B}}\put(9,0.7){\sf{\large{(h + 10) cm}}}\put(11.1,1){\large\sf{C}}\put(11.1,3){\large\sf{D}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\end{picture}$

$\rule{100}{1}$

• Length = h cm
• Width = (h + 10) cm

$\underline{\bigstar\:\boldsymbol{According\:to\:the\:Question :}}$

$\dashrightarrow\sf\:\:Area_{(Rectangle)}=Length \times Width\\\\\\\dashrightarrow\sf\:\:600\:cm^2=h\:cm \times (h+10)\:cm\\\\\\\dashrightarrow\sf\:\:600\:cm^2=h(h+10)\:cm^2\\\\\\\dashrightarrow\sf\:\:600=h(h+10)\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf h(h+10)=600}}$

⠀

$\therefore\:\underline{\textsf{The equation for area is a] \textbf{h(h + 10) = 600}}}.$