Question

The width of a rectangle is 2 cm longer than its length. Identify the polynomial that represents the area of the rectangle, and its area when the length is 5 cm.

Answer 1

$\large\sf\underline{Answer\::}$

Let the height be h.

• Then base would be (h + 6) cm

We know :

$\small{\mathfrak\blue{Area\:of\:rectangle=\frac{1}{2} \times b \times h }}$

According to the question :

• h = 10 cm

• b = (h + 6) = 10 + 6 = 16 cm

Now let's substitute the value in the formula:

$\sf\implies\:\frac{1}{2} \times 16 \times 10$

$\sf\implies\:\frac{1}{2} \times 160$

$\sf\implies\:\frac{160}{2}$

$\sf\implies\:\cancel{\frac{160}{2}}$

$\small{\underline{\boxed{\mathrm\red{\implies\:Area_∆\:=\:80\:cm^{2}}}}}$ ★

‎

So yeah option ( c ) is correct $\color{maroon}{\checkmark}$

‎

!! Hope it helps !!

Answer 2

Answer:

\large\sf\underline{Answer\::}

Answer:

Let the height be h.

Then base would be (h + 6) cm

We know :

\small{\mathfrak\blue{Area\:of\:rectangle=\frac{1}{2} \times b \times h }}Areaofrectangle=

2

1

×b×h

According to the question :

h = 10 cm

b = (h + 6) = 10 + 6 = 16 cm

Now let's substitute the value in the formula:

\sf\implies\:\frac{1}{2} \times 16 \times 10⟹

2

1

×16×10

\sf\implies\:\frac{1}{2} \times 160⟹

2

1

×160

\sf\implies\:\frac{160}{2}⟹

2

160

\sf\implies\:\cancel{\frac{160}{2}}⟹

2

160

\small{\underline{\boxed{\mathrm\red{\implies\:Area_∆\:=\:80\:cm^{2}}}}}

⟹Area

∆

=80cm

2

★

‎

So yeah option ( c ) is correct \color{maroon}{\checkmark}✓

‎

!! Hope it helps !!