Question

Diagram 2 shows a piece of rectangular card in grey colour

The white region is a ribbon with width y cm. The area of the card which is not covered by the ribbon is 96 cm.

Form an equation, in terms of x and y, based on the statements above.
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Answer 1

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) * 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 * 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.