Answer:
Area of the larger rectangle = 332.8 m²
Step-by-step explanation:
Ratio of the corresponding sides of two rectangles is 5 : 8 and the area of smaller rectangle is 130 m²
We have to calculate the area of larger rectangle.
Let length of two rectangles are L and L' and width be W and W'.
Now as given in the question
L/L' = 5/8 and W/W' = 5/8
Therefore ratio of two rectangles = A/A' = (L×W)/(L'×W') = (L/L')×(W/W') = (5/8)×(5/8) = (5/8)²
A/A' = (5/8)² = 130/A'
A' = 130× (8/5)² = (130×64)/25 = 332.8 m²
