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hichkok12 [17]
3 years ago
6

A square and a rectangle are isoperimetric and have a perimeter of 80 cm. knowing that the height of the rectangle exceeds the b

ases of 12 cm, calculates the area of ​​each figure.
[364cm2; 400cm2]
Mathematics
2 answers:
Nataly_w [17]3 years ago
7 0
Square

(80:4)² =
20²=
400 cm² (area)

Rectangle

80:2=40cm (b+h)
40-12=28cm
28:2=14cm (b)
14+12=26cm (h)
A = b*h
14*26= 364 cm² (area)
maksim [4K]3 years ago
3 0
Each side of the square would be 80/4 = 20 cm.  so its area = 20^2 = 400 cm^2.
Th rectangle will have perimeter = 80 = 2x + 2(x - 12)    where x = height of the rectangle
4x = 80+24 = 104
so x = 26  
area of rectangle = 26*(26-12) =  364 cm^2
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