A rectangle has a width of 8 centimeters and an area of 160 square centimeters a similar rectangle has an area of 250 square cen
timeters. What are the dimensions of the larger rectangle?
1 answer:
We know that
area of rectangle=L*W/2
L is the length side
W is the width side
smaller rectangle
area=160 cm²
W=8 cm
A=W*L-----> L=A/W
L=160/8----> 20 cm
larger rectangle
Area=250 cm²
area larger rectangle/area smaller rectangle=[scale factor]²
so
scale factor²=250/160----> 1.5625
scale factor=√1.5625----> scale factor=1.25
the dimension larger rectangle=scale factor*dimension smaller rectangle
L (larger rectangle)=(1.25)*(20)---> 25 cm
W (larger rectangle)=(1.25)*8----> 10 cm
the answer is
<span>the dimensions of the larger rectangle are 10 cm x 25 cm</span>
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