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A rectangle and an equilateral triangle have the same perimeter. The length of the rectangle is 4 cm more than the width. Each side of the triangle is 12 cm. Find the length and width of the rectangle.

Sagot :

Answer:

7cm(width of rectangle)

Step-by-step explanation:

perimeter of rectangle= p of equilateral triangle

rectangle= 2(l+w)

l= w+4 cm

2(w+w+4) cm

2(2w+4)cm

4w+8cm

triangle= 3 x side

3x12cm=36cm

perimeter of rectangle= p of equilateral triangle:

4w+8=36

4w=36-8

4w=28

w=7cm(width of rectangle)