A rectangle is 30cm long and 20cm wide. A rectangular strip added to one side and another of the same width to the other side result in the doubling of the area. Find the width of the strip.
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Answer:
10 cm.
Step-by-step explanation:
area = lw
(30cm) (20cm)
= 600cm²
that's the area of the original rectangle. Now add two strips with the same size which results to doubling the original area. (I used x for the unknown value of the widht)
2a = lw + 2(1x)
600cm² + 600cm² (30cm) (20cm) + 2(30 cm)
=
1200cm² 600cm² +(60x cm²)
1200cm² - 600cm² = 60x cm² 2 600cm 60x cm²
600cm² 60x cm²
60 10cm² 60 =r cm
✓ 10cm² Væ cm²
10cm x cm
compute and simplify and you will get 10