Question

On a scale drawing of a table, the length is 12 units and the width is 8 units. Each unit on the grid represents 15 cm. Xavier says that if he draws another scale drawing of the table with a scale of 20 cm for each unit, it will be larger than the original drawing because 20 > 15. Explain why Xavier is incorrect with a drawing.

Answer 1

The scaled drawing of a shape is a drawing in proportion to the original drawing. Xavier is not incorrect with his conclusion.

Given that:

$k = 20cm$ ---- the new scale

$Length = 12\ units$

$Width = 8\ units$

The dimension of the table on the new scale is:

$Length = 20cm \times 12$

$Length = 240cm$

$Width = 20cm \times 8$

$Width = 160cm$

On the original scale, the table dimension is:

$Length = 15cm \times 12 = 180cm$

$Width = 15cm \times 8 = 120cm$

By comparing both dimensions, we can conclude that Xavier is not incorrect with his conclusion.

See attachment for the new table

Read more about scaled drawing at:

https://brainly.com/question/980463