A rectangular tile on a design grid is bounded by $x = 2, x = 2 + w, y = - 1$ and $y = 5$ . Its diagonal length is 10 units.
Find the width $w$ of the tile $(w > 0)$ .

Question

A rectangular tile on a design grid is bounded by x = 2, x = 2 + w, y = -1 and y = 5. Its diagonal length is 10 units. Find the width w of the tile (w > 0).

Accepted Answer

8. Height = |5 - (-1)| = 6. For a rectangle, diagonal^2 = width^2 + height^2: 10^2 = w^2 + 6^2, so 100 = w^2 + 36, w^2 = 64, w = 8.

A rectangular tile on a design grid is bounded by $x = 2, x = 2 + w, y = - 1$ and $y = 5$ . Its diagonal length is 10 units.
Find the width $w$ of the tile $(w > 0)$ .

Step-by-Step Solution

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More Class 9 Lines Parallel to the Axes practice

A rectangular tile on a design grid is bounded by x=2,x=2+w,y=−1 and y=5. Its diagonal length is 10 units.Find the width w of the tile (w>0).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Lines Parallel to the Axes practice

A rectangular tile on a design grid is bounded by $x = 2, x = 2 + w, y = - 1$ and $y = 5$ . Its diagonal length is 10 units.
Find the width $w$ of the tile $(w > 0)$ .