Question

The height of a frame is 2/3 times its width

Answer 1

The height of the frame is 1 m and the width is 1.5 meters.

The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.

The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.

Perimeter(p)=2×[height(h)+width(w)]

The given dimensions of the frame is that the height is $\frac{2}{3}$ the width.

Let us consider the width be x.

Hence height=$\frac{2}{3} x$

Now perimeter =

$2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x$

But the given perimeter is 5 meter.

Therefore:

$\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5$

Therefore the width is 1.5 meters.

Height=$\frac{2}{3} \times 1.5$=1 meter.

So we can conclude that the width is 1.5 meters and the height is 1 meter.

To learn more about perimeter ,width and height:

brainly.com/question/24571594

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