Question

Diagram 2 shows a piece of rectangular card in grey colour

Answer 1

Solution:

we have given the length of the rectangular card-

$x + 5 \: cm$

and, width-

$7 \: cm$

now, the area of the card will be- length×width.

so, we have-

$(x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2}$

we also have given the length of ribbon-

$7 \: cm$

and, width-

$y \: cm$

so, area of the ribbon is-

length×width

$7 \times y \: cm^{2} \\ 7y \: cm^{2}$

now the area of shaded gray region will be-

$7x + 35 - 7y$

Hence, the required expression would the above expression.