A piece of wire is surrounded by a square with an edge length of 8 cm. If it is surrounded by a rectangle with a length of 12 cm, what is the width of the rectangle?

Wire length = 8 × 4 = 32cm
Width of rectangle = (32-12 × 2) △ 2 = 4cm

As shown in the figure, in the isosceles trapezoid ABCD, the upper bottom is 6cm, the lower bottom is 8cm, and the height is The waist length is 3 cm______ cm．

Through point a as AF ∥ CD, crossing BC at point F, making point a as AE ⊥ BC at point E, ∵ ad ∥ BC,

As shown in the figure, in the rectangle ABCD, ab = 2, root 3 cm, BC = 4, root 3 cm. Point P starts from point a at the speed of root 3 cm / s on the edge of the rectangle As shown in the figure, in the rectangle ABCD, ab = 2 root sign 3 cm, BC = 4 root sign 3 cm, point P starts from point a, moves along the path of a-d-c, and stops at point C at the speed of root 3 cm / s (1) Find the area of △ BAP after 2 seconds (2) The area of BCP after 5 seconds

When t = 2 ',
AP=t*√3
=2√3(cm)
The height of △ ABP with AP as the base is ab = 2 √ 3
∴S△ABP=AP*AB2
=2√3*2√3/2
=6(cm^2)
When t = 5 ″,
AP=t*√3
=5√3(cm)
In the rectangular ABCD, ab = 2 √ 3cm, BC = 4 √ 3,
∴AD=4√3
AP=5√3＞AD=4√3,
The point P is on the CD and DP = ap-ad
=5√3-4√3
=√3
∴CP=CD-DP
＝2√3-√3
=√3
∴S△BCP=BC*CP/2
=4√3*√3/2
=6(cm^2)

As shown in the figure, in the right angle trapezoid ABCD, AD / / BC, AB is perpendicular to BC, ad = 3, BC = 4, ab = radical 3, rotate waist CD anticlockwise 90 ° to ED, connect AE CE, then the area of triangle ade is

Turn the entire trapezoidal angle around 90 degrees, see figure below
Known: ad = 3, BC = 4, ab = √ 3
It can be seen from the figure that s △ ade = SRT △ af'e-srt △ df'e
=(AD+DF')*F'E/2-DF'*F'E/2
=(3+√3)*(BC-AD)/2-√3*(BC-AD)/2
=(3+√3)*(4-3)/2-√3*(4-3)/2
=(3+√3)/2-√3/2
=1.5
Auxiliary line figure see below Baidu Space link
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As shown in the figure, the acute angle of isosceles trapezoid is equal to 60 ° and its two bases are 15cm and 49cm respectively

If CE ⊥ AB and DF ⊥ AB pass through points c and D respectively, then the quadrilateral EFDC is rectangular, △ ace ≌ △ BDF,
∵CD=15cm，AB=49cm
∴AE=17cm，
∵CE⊥AB，∠A=60°，
∴∠ACE=30°，
∴AC=34cm，
Therefore, the waist length is 34 cm

As shown in the figure, the acute angle of isosceles trapezoid is equal to 60 ° and its two bases are 15cm and 49cm respectively

The figure is divided into four equal size and shape graphics

According to the analysis, each square is divided into four small squares (as shown in the left figure), and then each three small squares form a graph, which can be divided into four figures with the same size and shape, as shown in the following figure:
.

A piece of wire is surrounded by a square with an edge length of 8 cm. If it is surrounded by a rectangle with a length of 12 cm, what is the width of the rectangle?