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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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Diagram 2 shows a piece of rectangular card in grey colourThe white region is a ribbon with width y cm The area of the card which is not covered by the ribbon i class=

Respuesta :

mananarora283

Solution:

we have given the length of the rectangular card-

[tex]x + 5 \: cm[/tex]

and, width-

[tex]7 \: cm[/tex]

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

so, we have-

[tex](x + 5) \times 7 \: cm^{2} \\ 7x + 35 \: cm^{2} [/tex]

we also have given the length of ribbon-

[tex]7 \: cm[/tex]

and, width-

[tex]y \: cm[/tex]

so, area of the ribbon is-

length×width

[tex]7 \times y \: cm^{2} \\ 7y \: cm^{2} [/tex]

now the area of shaded gray region will be-

[tex]7x + 35 - 7y[/tex]

Hence, the required expression would the above expression.

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