Math / Geometry

QuestionFind the perimeter of the figure below, in centimeters.

Studdy Solution

STEP 1

1. The figure is a cross-shaped polygon.
2. The top and bottom horizontal sides of the cross are each $8.9$ cm.
3. The vertical sides of the cross arms are each $9.4$ cm.
4. The horizontal sides of the cross arms are each $9.4$ cm.
5. The vertical sides of the main body are each $15.8$ cm.

STEP 2

1. Identify all the sides of the cross-shaped figure.
2. Calculate the total length of each type of side.
3. Sum all the side lengths to find the perimeter.

STEP 3

Identify all the sides of the cross-shaped figure:
- Top horizontal side: $8.9$ cm - Bottom horizontal side: $8.9$ cm - Two vertical sides of the cross arms: $9.4$ cm each - Two horizontal sides of the cross arms: $9.4$ cm each - Two vertical sides of the main body: $15.8$ cm each

STEP 4

Calculate the total length of each type of side:
- Total horizontal sides: $8.9 + 8.9 + 9.4 + 9.4 = 36.6$ cm - Total vertical sides: $9.4 + 9.4 + 15.8 + 15.8 = 50.4$ cm

STEP 5

Sum all the side lengths to find the perimeter:
$\text{Perimeter} = 36.6 \, \text{cm} + 50.4 \, \text{cm} = 87.0 \, \text{cm}$
The perimeter of the figure is:
$\boxed{87.0 \, \text{cm}}$

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