Answer:
The archaeologists dis not actually discovered the lost temple
Explanation:
For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.
Area of the temple = LW
Perimeter = 2L + 2W
L is the length
W is the width
If the perimeter is 220m
220 = 2L + 2W
110 = L+W ... 1
If the area is 2100 square meters
A = LW
2100 = LW ... 2
From 1;
L = 110 - W .... 3
Substitute 3 into 2
From 2;
2100 = LW
2100 = (110-W)W
2100 = 110W - W²
- W² + 110W - 2100 = 0
W² - 110W + 2100 = 0
Using the general formula;
W = -(-110)±√(-110)²-4(1)(2100)/2
W = 110±√3700/2
W = 110±60.83/2
W = 110±60.83/2
W = 110+60.83/2 and W = 110-60.83/2
W = 170.83/2 and 49.17/2
W = 85.415m and 24.585m
Substitute the width into the formula to get the length;
LW = 2100
L = 2100/W
L = 2100/85.415
L = 24.59 m
If the width is 24.585m;
L = 2100/24.585
L = 85.42m
Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple