Answer:
about 1.1535 inches
Explanation:
The area of the rectangle the product of its length and width, so ...
4960 km² = L·(86 km)
The length is found by dividing the area by the width.
4960 km²/(86 km) = L = 57 29/43 km
Sarah knows that her map scale is 1 in : 50 km, so to find the distance (l) on the map she must solve ...
l/(57 29/43 km) = 1 in/(50 km)
Multiplying by the denominator of the first fraction, we have
l = (1 in)·(57 29/43)/50 = 1 33/215 in ≈ 1.153488... in
The length on Sarah's map is about 1.1535 inches.