Respuesta :

Answer:

see explanation

Step-by-step explanation:

The area (A) of the whole sign is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 40 and h = 35, thus

A = 0.5 × 40 × 35 = 20 × 35 = 700 cm²

The area of the inner triangle is calculate as

A = 0.5 × 32 × 28 = 16 × 28 = 448 cm²

The area of the border is the difference between the whole sign and the inner triangle, that is

area of border = 700 - 44 8 = 252 cm²

Answer:

Step-by-step explanation:

a) Area of whole sign = 1/2 * base *height

[tex]=\frac{1}{2}*40*35\\\\=20*35\\\\=700 cm^{2}[/tex]

b) Area of the inner triangle

[tex]=\frac{1}{2}*32*28\\\\=16*28\\\\= 448cm^{2}[/tex]

c) Area of the border = Area of whole sign - area of the inner triangle

= 700 - 448

= 252 cm²

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