siennasmith0912 siennasmith0912
  • 11-02-2021
  • Mathematics
contestada

A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B

A and B are two similar shapes the area of shape A is 200cm2 calculate the area of shape B class=

Respuesta :

akposevictor
akposevictor akposevictor
  • 16-02-2021

Answer:

Area of shape B = 312.5 cm²

Step-by-step explanation:

Ratio of Area of A : Area of B = 12² : 15²

Given that area of A is 200 cm², let the area of shape B = x

Therefore:

200:x = 12²:15²

200/x = 144/225

Cross multiply

144x = 200*225

144x = 45,000

x = 45,000/144

x = 312.5 cm²

Area of shape B = 312.5 cm²

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